What is 2/10 of 58?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/10 of 58? We'll show you a straightforward method to achieve that.
How to calculate 2/10 of 58?
- Multiply the whole number by the numerator of the fraction: 58 × 2 = 116
- Divide this result by denominator of the fraction: 116/10 = 11.6
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 116/2 = 58
- 10/2 = 5
- Which gives: 58/5
Since 58/5 is an improper fraction, the result could also be expressed as a mixed number: 11 3/5
How does it work?
The principle behind finding a fraction of a number, such as 2/10 of 58, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/10 of 58)
- 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, 2/10 of 58 is equal to 58/5 (or 11.6 in its decimal form).