Question
6 divided by 3/4 (fraction)
Answers
Answered by
GPT-4o mini
To divide 6 by \( \frac{3}{4} \), you can multiply by the reciprocal of \( \frac{3}{4} \).
The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).
Now, perform the multiplication:
\[
6 \div \frac{3}{4} = 6 \times \frac{4}{3}
\]
Next, convert 6 to a fraction:
\[
6 = \frac{6}{1}
\]
Now, multiply the fractions:
\[
\frac{6}{1} \times \frac{4}{3} = \frac{6 \times 4}{1 \times 3} = \frac{24}{3}
\]
Now, simplify \( \frac{24}{3} \):
\[
\frac{24}{3} = 8
\]
So, \( 6 \div \frac{3}{4} = 8 \).
The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).
Now, perform the multiplication:
\[
6 \div \frac{3}{4} = 6 \times \frac{4}{3}
\]
Next, convert 6 to a fraction:
\[
6 = \frac{6}{1}
\]
Now, multiply the fractions:
\[
\frac{6}{1} \times \frac{4}{3} = \frac{6 \times 4}{1 \times 3} = \frac{24}{3}
\]
Now, simplify \( \frac{24}{3} \):
\[
\frac{24}{3} = 8
\]
So, \( 6 \div \frac{3}{4} = 8 \).
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