What is 9/4 of 94?

How to calculate 9/4 of 94?

1. Multiply the whole number by the numerator of the fraction: 94 × 9 = 846
2. Divide this result by denominator of the fraction: 846/4 = 211.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 846/2 = 423
   • 4/2 = 2
4. Which gives: 423/2

Since 423/2 is an improper fraction, the result could also be expressed as a mixed number: 211 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/4 of 94, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{4}=\frac{x}{94}$ (where x represents 9/4 of 94)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 94=4x$
2. Which gives: $846=4x$
3. Divide both sides by 4 to isolate x: $\frac{846}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{846}{4}=x$ (or $\frac{423}{2}=x$)

Thus, 9/4 of 94 is equal to 423/2 (or 211.5 in its decimal form).