What is 6/7 of 49?

How to calculate 6/7 of 49?

1. Multiply the whole number by the numerator of the fraction: 49 × 6 = 294
2. Divide this result by denominator of the fraction: 294/7 = 42
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 294/7 = 42
   • 7/7 = 1
4. Which gives: 42/1

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 49, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{49}$ (where x represents 6/7 of 49)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 49=7x$
2. Which gives: $294=7x$
3. Divide both sides by 7 to isolate x: $\frac{294}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{294}{7}=x$ (or $\frac{42}{1}=x$)

Thus, 6/7 of 49 is equal to 42/1 (or 42 in its decimal form).