What is 7/7 of 10?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/7 of 10? We'll show you a straightforward method to achieve that.
How to calculate 7/7 of 10?
- Multiply the whole number by the numerator of the fraction: 10 × 7 = 70
- Divide this result by denominator of the fraction: 70/7 = 10
- Simplify by dividing both the numerator and denominator by their GCD (7):
- 70/7 = 10
- 7/7 = 1
- Which gives: 10/1
How does it work?
The principle behind finding a fraction of a number, such as 7/7 of 10, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/7 of 10)
- 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, 7/7 of 10 is equal to 10/1 (or 10 in its decimal form).