What is 6/10 of 69?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/10 of 69? We'll show you a straightforward method to achieve that.
How to calculate 6/10 of 69?
- Multiply the whole number by the numerator of the fraction: 69 × 6 = 414
- Divide this result by denominator of the fraction: 414/10 = 41.4
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 414/2 = 207
- 10/2 = 5
- Which gives: 207/5
Since 207/5 is an improper fraction, the result could also be expressed as a mixed number: 41 2/5
How does it work?
The principle behind finding a fraction of a number, such as 6/10 of 69, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/10 of 69)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 10 to isolate x:
- Which gives the result: (or )
Thus, 6/10 of 69 is equal to 207/5 (or 41.4 in its decimal form).