What is 7/4 of 94?

How to calculate 7/4 of 94?

1. Multiply the whole number by the numerator of the fraction: 94 × 7 = 658
2. Divide this result by denominator of the fraction: 658/4 = 164.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 658/2 = 329
   • 4/2 = 2
4. Which gives: 329/2

Since 329/2 is an improper fraction, the result could also be expressed as a mixed number: 164 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 94, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{4}=\frac{x}{94}$ (where x represents 7/4 of 94)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 94=4x$
2. Which gives: $658=4x$
3. Divide both sides by 4 to isolate x: $\frac{658}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{658}{4}=x$ (or $\frac{329}{2}=x$)

Thus, 7/4 of 94 is equal to 329/2 (or 164.5 in its decimal form).