What is 2/2 of 77?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/2 of 77? We'll show you a straightforward method to achieve that.
How to calculate 2/2 of 77?
- Multiply the whole number by the numerator of the fraction: 77 × 2 = 154
- Divide this result by denominator of the fraction: 154/2 = 77
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 154/2 = 77
- 2/2 = 1
- Which gives: 77/1
How does it work?
The principle behind finding a fraction of a number, such as 2/2 of 77, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/2 of 77)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 2 to isolate x:
- Which gives the result: (or )
Thus, 2/2 of 77 is equal to 77/1 (or 77 in its decimal form).