What is 7/8 in Decimal form?

Answer: 7/8 in decimal form is 0.875

To convert a fraction like 7/8 into decimal form, you divide the numerator by the denominator. This process makes it easier to represent fractions in standard numerical notation, which is often needed for math, science, and real-world calculations.

Methods

Math Tutor Explanation Using the Division Method

This method involves dividing the numerator (7) by the denominator (8) to get the decimal equivalent.

Step 1: Step 1: Divide 7 by 8 using long division or a calculator

Step 2: Step 2: The result is 0.875

Math Tutor Explanation Using Equivalent Fractions with Powers of Ten

You can also convert the fraction to an equivalent fraction with a denominator of 1000, making the decimal easier to see.

Step 1: Step 1: Multiply both numerator and denominator by 125 to get 875/1000

Step 2: Step 2: Write 875/1000 as the decimal 0.875

Step 1:

Step 2:

Math Tutor suggests: More Fraction to Decimal Practice

Keep practicing how to convert fractions into decimals with these related math questions.

FAQ on Converting Fractions to Decimals

Why do we convert fractions to decimals?

Decimals are often easier to use in calculations and are the standard form for many measurements.

Can every fraction be converted into a decimal?

Yes, every fraction can be written as a decimal, though some may be repeating decimals.

Is 0.875 a terminating or repeating decimal?

0.875 is a terminating decimal because it ends after three digits.

How can I check my decimal answer is correct?

Multiply the decimal by the original denominator; if you get the numerator, your conversion is correct.

What if the division does not end after a few digits?

If the division repeats a pattern without ending, it is a repeating decimal.

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