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Converting Fractions to Decimals

Grade 6 · Math · Fractions, Decimals, and Percents · Oregon, USA

Lesson Summary

Convert a fraction to a decimal by dividing the numerator by the denominator.

Explanation

Every fraction can be written as a decimal. Simply divide the top number by the bottom number. For instance, 3/4 becomes 0.75 because 3 divided by 4 equals 0.75. Some fractions produce terminating decimals like 1/2 = 0.5, while others produce repeating decimals like 1/3 = 0.333... Being able to switch between fractions and decimals makes it easier to compare values and perform calculations, especially when using a calculator.

Practice Questions

Q1: Convert 7/8 to a decimal.
Answer: 0.875 (7 divided by 8).
Q2: Convert 2/3 to a decimal.
Answer: 0.666... (a repeating decimal, often written as 0.67 when rounded).
Q3: Which is greater: 5/6 or 0.8? Convert to compare.
Answer: 5/6 is about 0.833, which is greater than 0.8.
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People Also Ask

What is Converting Fractions to Decimals in Grade 6 Math?+

Converting Fractions to Decimals is a lesson in the Fractions, Decimals, and Percents chapter of Grade 6 Math. It is part of the Oregon, USA school curriculum and covers key concepts that students need to understand at this level.

What grade level covers Converting Fractions to Decimals?+

Converting Fractions to Decimals is taught in Grade 6 as part of the Math curriculum in Oregon, USA.

How can I help my child with Fractions, Decimals, and Percents in Math?+

Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Fractions, Decimals, and Percents topics.

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