What is 6/10 of 59?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/10 of 59? We'll show you a straightforward method to achieve that.
How to calculate 6/10 of 59?
- Multiply the whole number by the numerator of the fraction: 59 × 6 = 354
- Divide this result by denominator of the fraction: 354/10 = 35.4
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 354/2 = 177
- 10/2 = 5
- Which gives: 177/5
Since 177/5 is an improper fraction, the result could also be expressed as a mixed number: 35 2/5
How does it work?
The principle behind finding a fraction of a number, such as 6/10 of 59, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/10 of 59)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 10 to isolate x:
- Which gives the result: (or )
Thus, 6/10 of 59 is equal to 177/5 (or 35.4 in its decimal form).