What is 9/7 of 70?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/7 of 70? We'll show you a straightforward method to achieve that.
How to calculate 9/7 of 70?
- Multiply the whole number by the numerator of the fraction: 70 × 9 = 630
- Divide this result by denominator of the fraction: 630/7 = 90
- Simplify by dividing both the numerator and denominator by their GCD (7):
- 630/7 = 90
- 7/7 = 1
- Which gives: 90/1
How does it work?
The principle behind finding a fraction of a number, such as 9/7 of 70, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/7 of 70)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 7 to isolate x:
- Which gives the result: (or )
Thus, 9/7 of 70 is equal to 90/1 (or 90 in its decimal form).