What is 10/6 of 74?

How to calculate 10/6 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 10 = 740
2. Divide this result by denominator of the fraction: 740/6 = 123.33333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 740/2 = 370
   • 6/2 = 3
4. Which gives: 370/3

Since 370/3 is an improper fraction, the result could also be expressed as a mixed number: 123 1/3

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{74}$ (where x represents 10/6 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 74=6x$
2. Which gives: $740=6x$
3. Divide both sides by 6 to isolate x: $\frac{740}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{740}{6}=x$ (or $\frac{370}{3}=x$)

Thus, 10/6 of 74 is equal to 370/3 (or 123.33333333333 in its decimal form).