1. Terminating and Repeating Decimals
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Start by writing the given mixed number as a fraction. Then, divide the numerator by the denominator.
5.3
We want to write the given mixed number as a decimal.
5 13
We will first rewrite it as a fraction.
a bc=a* c+b/c
Identity Property of Multiplication
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We found that 5 13 is equal to 16 3 when it is written as a fraction. This means that we actually want to find the quotient 16÷ 3. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!
We found that 163 written as a decimal is 5.3. Since we previously found that 5 13 is equal to 163, we can say that 5 13 written as a decimal is 5.3. 5 13= 163=5.3