What is 7/6 of 42?

How to calculate 7/6 of 42?

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

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 42, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{42}$ (where x represents 7/6 of 42)

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

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