What is 4/5 as a decimal?

Answer: 4/5 as a decimal is 0.8

Fractions can be converted into decimals by dividing the numerator by the denominator. This is a useful skill for solving math problems and understanding numerical values in different forms. Let's explore how 4/5 can be expressed as a decimal.

Methods

Math Tutor Explanation Using the Division Method

This method involves directly dividing the top number (numerator) by the bottom number (denominator) to find the decimal equivalent.

Step 1: Step 1: Divide 4 (numerator) by 5 (denominator)

Step 2: Step 2: 4 divided by 5 equals 0.8

Math Tutor Explanation Using Equivalent Fractions with Denominator 10

Convert the fraction so the denominator is 10, turning it into a form that's easy to write as a decimal.

Step 1: Step 1: Multiply both numerator and denominator by 2 to get 8/10

Step 2: Step 2: Recognize that 8/10 is the same as 0.8

Step 1:

Step 2:

Math Tutor suggests: Practice More Fraction to Decimal Conversions

Strengthen your skills by solving more problems that convert fractions into decimals. Check out these related exercises for further practice.

FAQ on Converting Fractions to Decimals

What is a decimal?

A decimal is a way of representing fractions or real numbers using a base 10 system.

Why do we convert fractions to decimals?

Decimals are often easier to use in calculations and can make comparing numbers simpler.

What if the fraction does not divide evenly?

If a fraction does not divide evenly, you will get a repeating or terminating decimal.

Can every fraction be written as a decimal?

Yes, every fraction can be written as a decimal, though some will repeat or go on forever.

Is 0.8 the same as 8/10?

Yes, 0.8 is equivalent to 8/10 and also to 4/5 in simplest form.

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