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# Fraction Formulas

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
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 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)
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)
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