What is 7/6 of 2?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/6 of 2? We'll show you a straightforward method to achieve that.
How to calculate 7/6 of 2?
- Multiply the whole number by the numerator of the fraction: 2 × 7 = 14
- Divide this result by denominator of the fraction: 14/6 = 2.3333333333333
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 14/2 = 7
- 6/2 = 3
- Which gives: 7/3
Since 7/3 is an improper fraction, the result could also be expressed as a mixed number: 2 1/3
How does it work?
The principle behind finding a fraction of a number, such as 7/6 of 2, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/6 of 2)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 7/6 of 2 is equal to 7/3 (or 2.3333333333333 in its decimal form).