Simplify 5/12÷3/4 into simplest form

Answer 1

To simplify \( \frac{5}{12} \div \frac{3}{4} \), you can multiply by the reciprocal of \( \frac{3}{4} \):

\[ \frac{5}{12} \div \frac{3}{4} = \frac{5}{12} \times \frac{4}{3} \]

Now, multiply the numerators and the denominators:

\[ \frac{5 \times 4}{12 \times 3} = \frac{20}{36} \]

Next, simplify \( \frac{20}{36} \). Find the greatest common divisor (GCD) of 20 and 36. The GCD is 4.

Now, divide both the numerator and denominator by 4:

\[ \frac{20 \div 4}{36 \div 4} = \frac{5}{9} \]

Thus, the simplified form of \( \frac{5}{12} \div \frac{3}{4} \) is \( \frac{5}{9} \).