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Fraction Formulas
Math, 6th Grade, Fractions
| Question | Answer |
|---|---|
| Define benchmark fraction | Numbers used to help make estimates. For fractions they include 1/4, 1/3, 1/2, 2/3, and 3/4. |
| Define common denominator LCD | least common denominator (LCD) - The least common multiple of two or more denominators |
| Define common factor | A number that is a factor of two or more numbers |
| Define denominator | the number of same-size parts in a whole or set |
| Define difference | The answer in a subtraction problem |
| Define equivalent fraction | Fractions that name the same amount or part |
| Define factor | A number multiplied by another number to find a product |
| Define improper fraction | a fraction with a numerator that is greater than or equal to its denominator |
| Define inverse | the inverse of a fraction is the reciprocal of the fraction and the product of the 2 fractions is 1 |
| Define LCM lowest/least common multiple | The smallest number, other than zero, that is a multiple of two or more given numbers |
| Define mixed number | whole number combined with a fraction. |
| Define multiple | A number that is the product of a given number and a whole number |
| Define numerator | The top part of a fraction |
| Define part to whole | a fraction is a part of a whole, the numerator is the part and the denominator is total parts in the whole |
| Define product | The answer in a multiplication problem |
| Define quotient | The answer in a division problem |
| Define reciprocal | One of two numbers whose product is 1 |
| Define regrouping | regrouping is to rename each fraction with a common denominator using improper fraction if necessary. Regrouping allows for subtracting fractions. |
| Define simplify | To simplify, get an equivalent fraction that has 1 as the greatest common factor of the numerator and denominator |
| Define sum | The answer to an addition problem |
| 1×32, 2×16, 4×8 | Factors: Use rainbow factoring to find all the factors of 32. |
| 2×2×2×5 | Prime factors: Find the prime factors of 40 using a factor tree. |
| 24 | GCM: Find the greatest common multiple of 4 and 6 by writing out the multiples and selecting the largest multiple found in both. |
| 6 | GCF: Find the greatest common factor of 18 and 24 by writing out all the factors and selecting the largest common factor. |
| 2/8 | Multiplication Property of 1: Find the equivalent fraction of 1/4 by multiplying it by 2/2. |
| 6/9 | Multiplication Property of 1: Use a picture to find the equivalent fraction for 2/3, multiplying by 3/3. |
| 1/2 | Division Property of 1: Simplify fraction 3/6 by dividing by 3/3. |
| 1/2 | Division Property of 1: Draw a picture to simplify 4/8. |
| 5/8 | Compare fractions with QCD: Compare 3/5 and 5/8 by renaming both fractions to have a common denominator. Which fraction is larger? |
| 5/8 | Compare fractions by converting into decimals: Which is larger, 3/5 or 5/8? |
| 2/7 | Compare fractions by comparing denominators in fractions with like numerators. Which is larger, 2/7 or 1/4 (has equivalent = 2/8)? |
| 3/4 | Compare both fractions to one by drawing a picture. Which is larger, 2/3 or 3/4? |
| numerators: add or subtract denominators: keep without change | Name the 2 steps of adding and subtracting fractions with like denominators. |
| Select a fraction and rewrite it to an equivalent fraction whose denominator is the same as the other fraction. Then add numerators and keep denominator. | When adding or subtracting fractions with unlike denominators, what is the additional step that has to be performed before the 2 steps? |
| numerators: multiply denominators: multiply (neither can be zero) | What are the 2 steps for multiplying fractions? |
| common denominator method and reciprocal method | Name the two methods that can be used to divide fractions. |
| Multiply the first fraction by the reciprocal of the second fraction. | What are the steps for dividing fractions with the reciprocal method? |
| Rename the dividend and the divisor as fractions with a common denominator. Divide the resulting numerators and keep the denominator. | What are the steps for dividing fractions with the common denominator method? |
| 21/4 | Mixed numbers require that you convert them to an improper fraction before using them in equations. What is the improper fraction for 5¼? |
| numerator | tells how many equal parts we are considering |
| denominator | tells how many equal parts make up one whole |
| improper fraction | a fraction that is greater than one (the numerator is greater than the denominator) |
| mixed number | a number that consists of a whole number and a fraction |
| simplest form | A fraction that has only 1 as a common factor of the numerator and denominator. |
| fractions | numbers that are a part of a whole |
| equivalent | 1/2 = 2/ 4. They are _____________ fractions |
| equivalent | fractions that have the same value but look different |
| sum | the answer to an addition question |
| sum | 3 + 6 = 9 9 is the _________. |
| difference | the answer to a subtraction question |
| difference | 10 - 2 = 8 8 is the _________________. |
| numerator | the top number of a fraction |
| denominator | the bottom number of a fraction |
| addition | putting 2 or more numbers together |
| improper fraction | What kind of fraction is this? 15/6 |
| improper fraction | a fraction in which the NUMERATOR is greater than the DENOMINATOR |
| simplify | 4/24 |
| simplify | 9/15 |
| subtraction | taking away part of a number |
| common denominator | the bottom numbers of two fractions are the same |
| unlike denominators | different bottom numbers of fractions |
| benchmark fractions | common fractions that are easy to remember and estimate, like 1/2 or 1/3 |
| reasonable | possible, likely, good or close to the answer |
| reasonable 2 x 56 = ? a. 55 b.112 c 2 million | 112 is a r___________ answer. The others are impossible. |
| multiples | 2, 4, 6, 8 are ____________ of 2 11, 22, 33, 44 are ____________ of 11. |
| common multiples | 2, 4, 6, 8, 10 4, 8, 12 |
| 8 is a _______ multiple of 2 and 4 | common multiples |
| least common multiple | To add or subtract fractions with unlike denominators, first find the l___ c_____ m__________ |
| factor | 3 is a _____________ of 12 because 3 x 4 = 12 5 is a _____________ of 30 because 5 x 6 = 30 |
| factors | The ________________ of 15 are 1, 3, 5, and 15 because those numbers can be multiplied to equal 15. |
| common factor | To simplify a fraction, you find the greatest c_______ f______ of the numerator and denominator |
| greatest common factor | 6 is the g__________ c___________ f__________ of 18 and 24 |
| Adding Fractions | 1. Find a common denominator |
| 2. Whatever you do to the bottom, you do to the top. (or cross multiply to find the new numerators) | |
| 3. Add the numerators | |
| 4. Keep the denominators the same | |
| You can also....... | |
| a. draw a picture to help | |
| Adding Mixed Numbers | 1. Change the mixed number into an improper fraction by multiplying the denominator by the whole number. Then add the numerator in. Your denominator stays the same. |
| 2. Find a common denominator. | |
| 3. Whatever you do to the bottom, you do to the top. (or cross multiply to find the new numerators) | |
| 4. Add the numerators | |
| 5. Keep the denominators the same | |
| Subtracting Fractions | 1. Find a common denominator. |
| 2. Whatever you do to the bottom, you do to the top. (or cross multiply to find the new numerators) | |
| 3. Subtract the numerators | |
| 5. Keep the denominators the same | |
| You can also..... | |
| a. draw a picture to help | |
| Subtracting Mixed Numbers | 1. Change the mixed number into an improper fraction by multiplying the denominator by the whole number. Then add the numerator in. Your denominator stays the same. |
| 2. Find a common denominator. | |
| 3. Whatever you do to the bottom, you do to the top. (or cross multiply to find the new numerators) | |
| 4. Subtract the numerators | |
| 5. Keep the denominators the same | |
| Multiplying Fractions | 1. Multiply the numerators. |
| 2. Multiply the denominators. | |
| Dividing Fractions | 1. Leave it, Change it, Flip it (reciprocal) |
| 2. Leave the 1st fraction alone.....change the division sign to multiplication sign.....write the reciprocal of the 2nd fraction. | |
| 3. Multiply the numerators. | |
| 4. Multiply the denominators. |
Created by:
Desertprince
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