What is 7/8÷3/4 ?(1 point)

Responses

76
Start Fraction 7 over 6 End Fraction

3221
Start Fraction 32 over 21 End Fraction

2132
Start Fraction 21 over 32 End Fraction

67

1 answer

To solve the division of fractions problem \( \frac{7}{8} \div \frac{3}{4} \), you can multiply by the reciprocal of the second fraction.

The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).

So, the equation becomes: \[ \frac{7}{8} \times \frac{4}{3} \]

Now, multiply the numerators and the denominators: \[ \frac{7 \times 4}{8 \times 3} = \frac{28}{24} \]

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

  • The greatest common divisor (GCD) of 28 and 24 is 4.
  • Dividing both the numerator and the denominator by 4 gives:

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

So, the answer to \( \frac{7}{8} \div \frac{3}{4} \) is \( \frac{7}{6} \).

Therefore, the correct response is: Start Fraction 7 over 6 End Fraction.