What is 6/4 of 67?

How to calculate 6/4 of 67?

1. Multiply the whole number by the numerator of the fraction: 67 × 6 = 402
2. Divide this result by denominator of the fraction: 402/4 = 100.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 402/2 = 201
   • 4/2 = 2
4. Which gives: 201/2

Since 201/2 is an improper fraction, the result could also be expressed as a mixed number: 100 1/2

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{4}=\frac{x}{67}$ (where x represents 6/4 of 67)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 67=4x$
2. Which gives: $402=4x$
3. Divide both sides by 4 to isolate x: $\frac{402}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{402}{4}=x$ (or $\frac{201}{2}=x$)

Thus, 6/4 of 67 is equal to 201/2 (or 100.5 in its decimal form).