Percents, Fractions, Decimals

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 75% means 75 out of 100.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the top number (numerator) by the bottom number (denominator) and then multiply by 100. For example, 1/4 = (1 ÷ 4) × 100 = 25%.

Front

What is a decimal?

Back

A decimal is a way of representing numbers that are not whole numbers. It uses a decimal point to separate the whole part from the fractional part. For example, 0.5 represents half.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over its place value (e.g., 0.75 = 75/100) and simplify if possible.

Front

What is an equivalent fraction?

Back

Equivalent fractions are different fractions that represent the same value. For example, 1/2 and 2/4 are equivalent fractions.

Front

How do you find the percentage of a number?

Back

To find the percentage of a number, multiply the number by the percentage (as a decimal). For example, to find 20% of 50, calculate 50 × 0.20 = 10.

Front

What is the relationship between fractions, decimals, and percents?

Back

Fractions, decimals, and percents are different ways to represent the same value. For example, 1/2 = 0.5 = 50%.

Front

How do you express a fraction as a decimal?

Back

To express a fraction as a decimal, divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.

Front

What is the formula to calculate a discount?

Back

To calculate a discount, multiply the original price by the discount percentage (as a decimal) and subtract that amount from the original price. For example, for a 20% discount on $50, calculate $50 × 0.20 = $10 discount, so the new price is $50 - $10 = $40.

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, 75% = 75 ÷ 100 = 0.75.