What is 7/4 of 2?

How to calculate 7/4 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: 14/4 = 3.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 14/2 = 7
   • 4/2 = 2
4. Which gives: 7/2

Since 7/2 is an improper fraction, the result could also be expressed as a mixed number: 3 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 2, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{4}=\frac{x}{2}$ (where x represents 7/4 of 2)

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

Thus, 7/4 of 2 is equal to 7/2 (or 3.5 in its decimal form).