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.
5.875
We want to write the given mixed number as a decimal.
5 78
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 78 is equal to 47 8 when it is written as a fraction. This means that we actually want to find the quotient 47÷ 8. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!
We found that 478 written as a decimal is 5.875. Since we previously found that 5 78 is equal to 478, we can say that 5 78 written as a decimal is 5.875. 5 78= 478=5.875