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Let's convert the decimal fractions to simple fractions:
We'll write the division problem as follows:
Let's convert the division problem to a multiplication problem.
We'll multiply by the reciprocal of as follows:
We'll solve it this way:
We'll cancel out the 10 in the numerator with the 10 in the denominator and get:
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
You absolutely can! But learning the fraction method helps you understand why division works and builds skills for more complex problems where calculators might not be allowed.
Look at the decimal places: (3 tenths) and (5 tenths). The denominator matches the place value!
Instead of dividing by , you multiply by its reciprocal . Just flip the fraction upside down and change ÷ to ×!
When you multiply , you get . The 10 appears in both numerator and denominator, so they cancel out, leaving .
Check if can be reduced by finding common factors. Since 3 and 5 share no common factors other than 1, it's already in simplest form!
Just divide: . Both and 0.6 are correct - choose the format your teacher requests!
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