What is 7/6 of 58?

How to calculate 7/6 of 58?

1. Multiply the whole number by the numerator of the fraction: 58 × 7 = 406
2. Divide this result by denominator of the fraction: 406/6 = 67.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 406/2 = 203
   • 6/2 = 3
4. Which gives: 203/3

Since 203/3 is an improper fraction, the result could also be expressed as a mixed number: 67 2/3

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{58}$ (where x represents 7/6 of 58)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 58=6x$
2. Which gives: $406=6x$
3. Divide both sides by 6 to isolate x: $\frac{406}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{406}{6}=x$ (or $\frac{203}{3}=x$)

Thus, 7/6 of 58 is equal to 203/3 (or 67.666666666667 in its decimal form).