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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