What is 10/4 of 41?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/4 of 41? We'll show you a straightforward method to achieve that.
How to calculate 10/4 of 41?
- Multiply the whole number by the numerator of the fraction: 41 × 10 = 410
- Divide this result by denominator of the fraction: 410/4 = 102.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 410/2 = 205
- 4/2 = 2
- Which gives: 205/2
Since 205/2 is an improper fraction, the result could also be expressed as a mixed number: 102 1/2
How does it work?
The principle behind finding a fraction of a number, such as 10/4 of 41, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/4 of 41)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 4 to isolate x:
- Which gives the result: (or )
Thus, 10/4 of 41 is equal to 205/2 (or 102.5 in its decimal form).