What is 7/9 of 48?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/9 of 48? We'll show you a straightforward method to achieve that.
How to calculate 7/9 of 48?
- Multiply the whole number by the numerator of the fraction: 48 × 7 = 336
- Divide this result by denominator of the fraction: 336/9 = 37.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 336/3 = 112
- 9/3 = 3
- Which gives: 112/3
Since 112/3 is an improper fraction, the result could also be expressed as a mixed number: 37 1/3
How does it work?
The principle behind finding a fraction of a number, such as 7/9 of 48, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/9 of 48)
- 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: (or )
Thus, 7/9 of 48 is equal to 112/3 (or 37.333333333333 in its decimal form).