What is 10/5 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 10/5 of 35? We'll show you a straightforward method to achieve that.
How to calculate 10/5 of 35?
- Multiply the whole number by the numerator of the fraction: 35 × 10 = 350
- Divide this result by denominator of the fraction: 350/5 = 70
- Simplify by dividing both the numerator and denominator by their GCD (5):
- 350/5 = 70
- 5/5 = 1
- Which gives: 70/1
How does it work?
The principle behind finding a fraction of a number, such as 10/5 of 35, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/5 of 35)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result: (or )
Thus, 10/5 of 35 is equal to 70/1 (or 70 in its decimal form).