Fractions

how do you subtract a fraction from a whole number

1. Borrow 1 from the whole number, and change it to a fraction, creating a mixed number. 2. Change the fraction so it has the same denominator as the fraction to be subtracted. 3. Subtract the fraction from the mixed number. 4. Reduce if necessary.

How do you multiply fractions

1. Cancel terms if possible. 2. Multiply the numerators, multiply the denominators. 3. Reduce the result (product) to the lowest terms, if necessary.

How do you subtract fractions using borrowing

1. Change both fractions to the same denominator if necessary. 2. Borrow 1 from the whole number and change it to the same denominator as the fraction in the mixed number. Add the two fractions together. 3. Subtract the fractions and the whole numbers. 4. Reduce if necessary.

how do you divide fractions

1. To divide fractions, invert (turn upside down) the second fraction (divisor); change (divide) to (multiply) 2. Cancel terms, if possible 3. Multiply fractions 4. Reduce where necessary

whole number

1=(1/1) 3=(3/1) 6=(6/1) 100=(100/1)

mixed numbers

A whole number and a fraction together.

reducing fractions

Fraction must be reduced to its lowest terms. This is done by finding the greatest common factor (GCF) for both the numerator and denominator and then dividing both the numerator and denominator by that value. Example: Reduce 24/36 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 GCF = 12; divide numerator and denominator by 12 and you get 2/3

change mixed number to improper fraction

Multiply the whole number by the denominator, adding it to the numerator and placing all that over the denominator again. 3(1/2) would be 3x2+1 so it would be (7/2)

denominator

The bottom number of a fraction that tells how many equal parts are in the whole.

complex fraction

The numerator, denominator, or both contain a fraction

numerator

The upper half of a fraction.

How do you add fractions with the same denominator

add the numerators, place the sum over the denominator, and reduce to lowest terms

How do you add fractions with different denominators

change fractions to their equivalent fraction with the lowest common denominator, add the numerators, write the sum over the common denominator, and reduce if necessary.

how do you subtract fractions with different denominators

find the lowest common denominator, change to equivalent fractions, subtract the numerators, and place the sum over the common denominator. reduce to lowest terms if necessary.

proper fraction

number is less than the denominator, and the fraction has a value of less than 1

improper fraction

numerator is larger than or equal to the denominator

how do you subtract fractions with the same denominator

subtract the numerators, and place this amount over the denominator. Reduce to the lowest terms if necessary