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QuestionDivide and simplify: 14÷1121314 \div 1 \frac{12}{13}. Provide a whole number, proper fraction, or mixed number.

Studdy Solution

STEP 1

Assumptions1. We are dividing14 by112/13. The result should be a whole number, proper fraction, or mixed number

STEP 2

First, we need to convert the mixed number112/13 to an improper fraction. We can do this by multiplying the whole number by the denominator of the fraction and adding the numerator.
11213=13×1+12131 \frac{12}{13} = \frac{13 \times1 +12}{13}

STEP 3

Now, calculate the improper fraction.
11213=13×1+1213=25131 \frac{12}{13} = \frac{13 \times1 +12}{13} = \frac{25}{13}

STEP 4

Next, we need to divide14 by the improper fraction25/13. In order to do this, we multiply14 by the reciprocal of25/13.
14÷2513=14×132514 \div \frac{25}{13} =14 \times \frac{13}{25}

STEP 5

Now, calculate the result.
14÷2513=14×1325=1822514 \div \frac{25}{13} =14 \times \frac{13}{25} = \frac{182}{25}

STEP 6

The result is an improper fraction. We can convert this to a mixed number by dividing the numerator by the denominator.
18225=25\frac{182}{25} = \frac{}{25}So,14 divided by112/13 equals/25.

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