Fractions & Decimals

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

What is a decimal?

Back

A decimal is a way of representing fractions using a point (decimal point). For example, 0.5 is the decimal representation of the fraction 1/2.

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.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Front

What is the relationship between fractions and decimals?

Back

Fractions can be converted to decimals by dividing the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the decimal equivalent of 1/10?

Back

The decimal equivalent of 1/10 is 0.1.

Front

What is the decimal equivalent of 3/4?

Back

The decimal equivalent of 3/4 is 0.75.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over 1, multiply the numerator and denominator by 10 for each digit after the decimal point, and simplify if possible. For example, 0.6 = 6/10 = 3/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 1 1/2 is a mixed number.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.