Question

What is 7/8÷3/4
?(1 point)
Responses

7/6
Start Fraction 7 over 6 End Fraction

6/7
Start Fraction 6 over 7 End Fraction

21/32
Start Fraction 21 over 32 End Fraction

32/21

1 answer

To divide fractions, you multiply by the reciprocal of the fraction you are dividing by.

So, \( \frac{7}{8} \div \frac{3}{4} \) can be rewritten as:

\[ \frac{7}{8} \times \frac{4}{3} \]

Now, multiply the numerators and the denominators:

\[ \frac{7 \times 4}{8 \times 3} = \frac{28}{24} \]

Next, simplify \( \frac{28}{24} \):

Both the numerator and denominator can be divided by 4:

\[ \frac{28 \div 4}{24 \div 4} = \frac{7}{6} \]

Thus, the answer is \( \frac{7}{6} \).

So the correct response is:

7/6 (Start Fraction 7 over 6 End Fraction)