Math

QuestionConvert the mixed number -4 6/7 to an improper fraction.

Studdy Solution

STEP 1

Assumptions1. We are given a mixed number 467-4 \frac{6}{7} . We need to convert this mixed number into an improper fraction.

STEP 2

An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). We can convert a mixed number to an improper fraction using the following formulaImproper fraction=Whole number×Denominator+umerator\text{Improper fraction} = \text{Whole number} \times \text{Denominator} + \text{umerator}

STEP 3

In our case, the whole number is -, the numerator is 66, and the denominator is 77. Let's plug these values into our formulaImproper fraction=×7+6\text{Improper fraction} = - \times7 +6

STEP 4

First, calculate the multiplicationImproper fraction=28+6\text{Improper fraction} = -28 +6

STEP 5

Then, calculate the additionImproper fraction=22\text{Improper fraction} = -22

STEP 6

The denominator of our improper fraction is the same as the denominator of our original fraction, which is .So,theimproperfractionis. So, the improper fraction is-4 \frac{6}{} = -\frac{22}{}$$So, $-4 \frac{6}{}$ as an improper fraction is $-\frac{22}{}$.

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