Question

Which is greater 30x 3/4 or 30 divided by 3/4 ? explain

Answer 1

$30 \times \frac{3}{4} = \frac{90}{4} =22.5\\\\30 \div \frac{3}{4}=30\times \frac{4}{3} =\frac{120}{3} = 40$

30 ÷ 3/4 is greater than 30 × 3/4.

Answer 2

30 divided by 3/4 is greater than 30 x 3/4.

In multiplying fractions, simply multiply its numerators and denominators. Then, simplify the fraction.
 
30 * 3/4 = 30*3 / 4 = 90/4 = 22.50

In dividing fractions, we first get the reciprocal of the 2nd fraction. then multiply the 1st fraction to the reciprocal of the 2nd fraction. Steps in multiplying fractions apply.
30 ÷ 3/4 = 30 * 4/3 = 30*4 / 3 = 120/3 = 40.

30 in the multiplication is the whole or 100 percent, the 3/4 of it is smaller than 30.

30 in division is the part of a whole, 30 is the 3/4 or the part of the whole. that is why 30 divide by 3/4 is greater.