Operations with Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert each fraction, and then add the numerators. For example, 1/3 + 1/4 = (4/12) + (3/12) = 7/12.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the process for subtracting fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator the same. If they have different denominators, find a common denominator first.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Tags

CCSS.5.NF.B.6

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, (2/3) ÷ (4/5) = (2/3) * (5/4) = (2*5)/(3*4) = 10/12 = 5/6.

Tags

CCSS.6.NS.A.1

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

Tags

CCSS.3.NF.A.3C

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

Front

What is the least common multiple (LCM) and how is it used with fractions?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.