What is 6/8 of 62?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/8 of 62? We'll show you a straightforward method to achieve that.
How to calculate 6/8 of 62?
- Multiply the whole number by the numerator of the fraction: 62 × 6 = 372
- Divide this result by denominator of the fraction: 372/8 = 46.5
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 372/4 = 93
- 8/4 = 2
- Which gives: 93/2
Since 93/2 is an improper fraction, the result could also be expressed as a mixed number: 46 1/2
How does it work?
The principle behind finding a fraction of a number, such as 6/8 of 62, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/8 of 62)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 6/8 of 62 is equal to 93/2 (or 46.5 in its decimal form).