Converting between Fractions, Decimals, and Percents

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What is a decimal?

Back

A decimal is a way of expressing numbers that are not whole, using a point to separate the whole number part from the fractional part (e.g., 0.5).

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100, denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you convert a percent to a decimal?

Back

To convert a percent to a decimal, divide the percent by 100. For example, 25% = 25 ÷ 100 = 0.25.

Front

How do you convert a decimal to a percent?

Back

To convert a decimal to a percent, multiply the decimal by 100. For example, 0.75 = 0.75 × 100 = 75%.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 1 ÷ 4 = 0.25.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over 1 and multiply the numerator and denominator by 10 for each digit after the decimal point. For example, 0.5 = 5/10 = 1/2.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/8 simplifies to 1/2.

Front

What is 50% as a fraction in simplest form?

Back

50% as a fraction in simplest form is 1/2.

Front

What is 0.75 as a percent?

Back

0.75 as a percent is 75%.