Compare and Order Fractions, Decimals, and Percents

Front

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

Back

Fractions, decimals, and percents are different ways to represent the same value. A fraction represents a part of a whole, a decimal is a fraction expressed in a base-10 format, and a percent is a fraction with a denominator of 100.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 1/4 = 1 ÷ 4 = 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 and add a percent sign. For example, 0.75 × 100 = 75%.

Front

How do you convert a percent to a fraction?

Back

To convert a percent to a fraction, write the percent as a fraction with a denominator of 100 and simplify if possible. For example, 25% = 25/100 = 1/4.

Front

What is the process for ordering fractions, decimals, and percents from greatest to least?

Back

To order fractions, decimals, and percents from greatest to least, convert all values to the same format (either all fractions, all decimals, or all percents) and then compare their values.

Front

What is the decimal equivalent of 75%?

Back

The decimal equivalent of 75% is 0.75.

Front

How do you compare two decimals?

Back

To compare two decimals, align the decimal points and compare digit by digit from left to right. The first digit that differs determines which decimal is greater.

Front

What is the least common denominator (LCD) and why is it important?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is important for adding or subtracting fractions with different denominators.

Front

How do you find the least common denominator (LCD) of 1/8 and 0.125?

Back

The LCD of 1/8 and 0.125 is 8, as 0.125 can be expressed as 1/8.

Front

What does it mean for one number to be greater than another?

Back

One number is greater than another if it is further to the right on the number line. For example, 0.45 is greater than 0.32.