What is 7/10 of 49?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/10 of 49? We'll show you a straightforward method to achieve that.
How to calculate 7/10 of 49?
- Multiply the whole number by the numerator of the fraction: 49 × 7 = 343
- Divide this result by denominator of the fraction: 343/10 = 34.3
Since 343/10 is an improper fraction, the result could also be expressed as a mixed number: 34 3/10
How does it work?
The principle behind finding a fraction of a number, such as 7/10 of 49, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/10 of 49)
- 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:
Thus, 7/10 of 49 is equal to 343/10 (or 34.3 in its decimal form).