What is 10/5 of 44?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/5 of 44? We'll show you a straightforward method to achieve that.
How to calculate 10/5 of 44?
- Multiply the whole number by the numerator of the fraction: 44 × 10 = 440
- Divide this result by denominator of the fraction: 440/5 = 88
- Simplify by dividing both the numerator and denominator by their GCD (5):
- 440/5 = 88
- 5/5 = 1
- Which gives: 88/1
How does it work?
The principle behind finding a fraction of a number, such as 10/5 of 44, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/5 of 44)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result: (or )
Thus, 10/5 of 44 is equal to 88/1 (or 88 in its decimal form).