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.