Decimals To Fractions Sample Problems

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Here are some tips for Decimals To Fractions, which aligns with Hawaii state standards:

Decimals To Fractions

This topic will be easier if you know how to convert fractions to decimals.
To review, the Fractions to Decimals topic, see here.

The number to the left of the decimal point is a whole number.

14.xxx = 14 +

The number to the right of the decimal point is the fraction or decimal.
We convert decimals to fractions by looking at the right-most place value of the decimal.

0.7 The place value goes to the tenths, so 0.7 =

0.25 The place value goes to the hundredths, so 0.25 = which simplifies to

0.638 The place value goes to the thousandths, so 0.638 = which simplifies to

To convert decimals to fractions,

Take out the whole number (the number to the left of the decimal point)
Use the right-most place value of the decimal to determine the fraction value

Examples:

Convert the following decimals into fractions.

1.8 = 1 = 1

0.058 = =

9.7343 = 9