What is 4/7 of 84?

How to calculate 4/7 of 84?

1. Multiply the whole number by the numerator of the fraction: 84 × 4 = 336
2. Divide this result by denominator of the fraction: 336/7 = 48
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 336/7 = 48
   • 7/7 = 1
4. Which gives: 48/1

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 84, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{84}$ (where x represents 4/7 of 84)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 84=7x$
2. Which gives: $336=7x$
3. Divide both sides by 7 to isolate x: $\frac{336}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{336}{7}=x$ (or $\frac{48}{1}=x$)

Thus, 4/7 of 84 is equal to 48/1 (or 48 in its decimal form).