What is 7/6 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 7/6 of 62? We'll show you a straightforward method to achieve that.
How to calculate 7/6 of 62?
- Multiply the whole number by the numerator of the fraction: 62 × 7 = 434
- Divide this result by denominator of the fraction: 434/6 = 72.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 434/2 = 217
- 6/2 = 3
- Which gives: 217/3
Since 217/3 is an improper fraction, the result could also be expressed as a mixed number: 72 1/3
How does it work?
The principle behind finding a fraction of a number, such as 7/6 of 62, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/6 of 62)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 7/6 of 62 is equal to 217/3 (or 72.333333333333 in its decimal form).