What is 9/10 of 35?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/10 of 35? We'll show you a straightforward method to achieve that.
How to calculate 9/10 of 35?
- Multiply the whole number by the numerator of the fraction: 35 × 9 = 315
- Divide this result by denominator of the fraction: 315/10 = 31.5
- Simplify by dividing both the numerator and denominator by their GCD (5):
- 315/5 = 63
- 10/5 = 2
- Which gives: 63/2
Since 63/2 is an improper fraction, the result could also be expressed as a mixed number: 31 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/10 of 35, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/10 of 35)
- 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, 9/10 of 35 is equal to 63/2 (or 31.5 in its decimal form).