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Question:

Write 0.932 as a fraction.

A \(\frac{\mathrm{233} }{\mathrm{250}}\)
explanation


Step 1: Read the Decimal Out Loud
A few reminders:
a. We read everything to the left of the decimal by itself.
b. The decimal says the word “and”.
c. We then read everything to the right of the decimal.
d. We end it by saying the place value of the last number.
Therefore, 0.932 is said as:
Nine Hundred Thirty-two Thousandths
Step 2: Write the Fraction You Read Out Loud
Zero came before the decimal, so there is no whole number.
We also said nine hundred thirty-two thousandths out loud. Nine hundred thirty-two would be our numerator and one thousand would be our denominator.
\(\frac{\mathrm{932} }{\mathrm{1000}}\)
Let’s check and see if the fraction can be simplified.
932 and 1000 have a factor of 4 in common so we can simplify the fraction by dividing both the numerator and denominator by a common factor, 4.
932/1000 ÷ 4/4 = 932÷4/1000÷4
= \(\frac{\mathrm{233} }{\mathrm{250}}\)
Let’s check and see if the fraction can be further simplified.
Because the only factor that 233 and 250 have in common is 1, the fraction is completely simplified.
0.932 is \(\frac{\mathrm{233} }{\mathrm{250}}\) when written as a fraction.