What is 3/6 of 70?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/6 of 70? We'll show you a straightforward method to achieve that.
How to calculate 3/6 of 70?
- Multiply the whole number by the numerator of the fraction: 70 × 3 = 210
- Divide this result by denominator of the fraction: 210/6 = 35
- Simplify by dividing both the numerator and denominator by their GCD (6):
- 210/6 = 35
- 6/6 = 1
- Which gives: 35/1
How does it work?
The principle behind finding a fraction of a number, such as 3/6 of 70, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/6 of 70)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 3/6 of 70 is equal to 35/1 (or 35 in its decimal form).