What is 7/8 of 2?

How to calculate 7/8 of 2?

1. Multiply the whole number by the numerator of the fraction: 2 × 7 = 14
2. Divide this result by denominator of the fraction: 14/8 = 1.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 14/2 = 7
   • 8/2 = 4
4. Which gives: 7/4

Since 7/4 is an improper fraction, the result could also be expressed as a mixed number: 1 3/4

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 2, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{8}=\frac{x}{2}$ (where x represents 7/8 of 2)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 2=8x$
2. Which gives: $14=8x$
3. Divide both sides by 8 to isolate x: $\frac{14}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{14}{8}=x$ (or $\frac{7}{4}=x$)

Thus, 7/8 of 2 is equal to 7/4 (or 1.75 in its decimal form).