What is 2/9 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 2/9 of 35? We'll show you a straightforward method to achieve that.
How to calculate 2/9 of 35?
- Multiply the whole number by the numerator of the fraction: 35 × 2 = 70
- Divide this result by denominator of the fraction: 70/9 = 7.7777777777778
Since 70/9 is an improper fraction, the result could also be expressed as a mixed number: 7 7/9
How does it work?
The principle behind finding a fraction of a number, such as 2/9 of 35, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/9 of 35)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 9 to isolate x:
- Which gives the result:
Thus, 2/9 of 35 is equal to 70/9 (or 7.7777777777778 in its decimal form).