What is 0.375 as a Fraction?

Answer: 0.375 as a fraction is 3/8

Converting a decimal like 0.375 into a fraction involves identifying its place value and simplifying the resulting fraction. This is a fundamental skill in mathematics and helps strengthen your understanding of numbers and their various representations.

Methods

Math Tutor Explanation Using the Place Value Method

This method involves reading the decimal based on its place value and writing it as a fraction, then simplifying if possible.

Step 1: Step 1: Recognize that 0.375 is read as three hundred seventy-five thousandths

Step 2: Step 2: Write 0.375 as 375/1000

Math Tutor Explanation Using the Division Method

This method interprets 0.375 as the result of dividing two integers, which can be reversed to find the equivalent fraction.

Step 1: Step 1: Set up the equation as x = 0.375

Step 2: Step 2: Because there are three decimal places, write x as 375/1000

Step 1:

Step 2:

Math Tutor suggests: Practice Decimal to Fraction Conversions

Boost your understanding of converting decimals to fractions by exploring these related problems.

FAQ on Converting Decimals to Fractions

How do I convert a decimal to a fraction?

Write the decimal as a fraction with the appropriate power of ten in the denominator, and then simplify.

What is the simplest form of 0.375 as a fraction?

The simplest form is 3/8.

Why do we simplify fractions?

Fractions are simplified to their lowest terms to make them easier to read and work with.

What do you do if the decimal repeats?

For repeating decimals, use algebraic methods to convert them to fractions.

Is 0.375 a terminating decimal?

Yes, because it has a finite number of digits after the decimal point.

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