What is 6/4 of 95?

How to calculate 6/4 of 95?

1. Multiply the whole number by the numerator of the fraction: 95 × 6 = 570
2. Divide this result by denominator of the fraction: 570/4 = 142.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 570/2 = 285
   • 4/2 = 2
4. Which gives: 285/2

Since 285/2 is an improper fraction, the result could also be expressed as a mixed number: 142 1/2

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 95, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{4}=\frac{x}{95}$ (where x represents 6/4 of 95)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 95=4x$
2. Which gives: $570=4x$
3. Divide both sides by 4 to isolate x: $\frac{570}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{570}{4}=x$ (or $\frac{285}{2}=x$)

Thus, 6/4 of 95 is equal to 285/2 (or 142.5 in its decimal form).