What is 6/8 of 37?

How to calculate 6/8 of 37?

1. Multiply the whole number by the numerator of the fraction: 37 × 6 = 222
2. Divide this result by denominator of the fraction: 222/8 = 27.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 222/2 = 111
   • 8/2 = 4
4. Which gives: 111/4

Since 111/4 is an improper fraction, the result could also be expressed as a mixed number: 27 3/4

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{8}=\frac{x}{37}$ (where x represents 6/8 of 37)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 37=8x$
2. Which gives: $222=8x$
3. Divide both sides by 8 to isolate x: $\frac{222}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{222}{8}=x$ (or $\frac{111}{4}=x$)

Thus, 6/8 of 37 is equal to 111/4 (or 27.75 in its decimal form).