What is 1/8 of 74?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/8 of 74? We'll show you a straightforward method to achieve that.
How to calculate 1/8 of 74?
- Multiply the whole number by the numerator of the fraction: 74 × 1 = 74
- Divide this result by denominator of the fraction: 74/8 = 9.25
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 74/2 = 37
- 8/2 = 4
- Which gives: 37/4
Since 37/4 is an improper fraction, the result could also be expressed as a mixed number: 9 1/4
How does it work?
The principle behind finding a fraction of a number, such as 1/8 of 74, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/8 of 74)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 1/8 of 74 is equal to 37/4 (or 9.25 in its decimal form).