What is 6/4 of 94?

How to calculate 6/4 of 94?

1. Multiply the whole number by the numerator of the fraction: 94 × 6 = 564
2. Divide this result by denominator of the fraction: 564/4 = 141
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 564/4 = 141
   • 4/4 = 1
4. Which gives: 141/1

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 94, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{4}=\frac{x}{94}$ (where x represents 6/4 of 94)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 94=4x$
2. Which gives: $564=4x$
3. Divide both sides by 4 to isolate x: $\frac{564}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{564}{4}=x$ (or $\frac{141}{1}=x$)

Thus, 6/4 of 94 is equal to 141/1 (or 141 in its decimal form).