Asked by goofy ah bugger
Divide. Write your answer in simplest form.
11/14 Divided by 5/6
11/14 Divided by 5/6
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To divide fractions, you multiply by the reciprocal of the second fraction. Therefore, dividing \( \frac{11}{14} \) by \( \frac{5}{6} \) can be expressed as:
\[
\frac{11}{14} \div \frac{5}{6} = \frac{11}{14} \times \frac{6}{5}
\]
Now multiply the numerators and the denominators:
\[
= \frac{11 \times 6}{14 \times 5} = \frac{66}{70}
\]
Next, we simplify \( \frac{66}{70} \) by finding the greatest common divisor (GCD) of 66 and 70. The GCD is 2.
Now divide both the numerator and the denominator by their GCD:
\[
\frac{66 \div 2}{70 \div 2} = \frac{33}{35}
\]
Thus, the answer in simplest form is:
\[
\frac{33}{35}
\]
\[
\frac{11}{14} \div \frac{5}{6} = \frac{11}{14} \times \frac{6}{5}
\]
Now multiply the numerators and the denominators:
\[
= \frac{11 \times 6}{14 \times 5} = \frac{66}{70}
\]
Next, we simplify \( \frac{66}{70} \) by finding the greatest common divisor (GCD) of 66 and 70. The GCD is 2.
Now divide both the numerator and the denominator by their GCD:
\[
\frac{66 \div 2}{70 \div 2} = \frac{33}{35}
\]
Thus, the answer in simplest form is:
\[
\frac{33}{35}
\]
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