Comparing Decimals, Fractions, and Percents

Front

What is a decimal?

Back

A decimal is a way of representing fractions using a base 10 system, where numbers are expressed with a decimal point. For example, 0.5 represents 5/10.

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). For example, 1/2 means one part out of two equal parts.

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, 25% means 25 out of 100.

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 percent?

Back

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

Front

How do you compare fractions?

Back

To compare fractions, convert them to have a common denominator or convert them to decimals, then compare the values.

Front

How do you compare decimals?

Back

To compare decimals, align the decimal points and compare digit by digit from left to right.

Front

How do you compare percents?

Back

To compare percents, convert them to decimals or fractions, or compare them directly as they are both out of 100.

Front

What is the value of 3.45% as a decimal?

Back

3.45% as a decimal is 0.0345 (divide by 100).

Front

What is the value of 60% as a fraction?

Back

60% as a fraction is 60/100, which simplifies to 3/5.