Question

What is the value of 60% of 70?

Answer 1

Hint: To find the value of 60% of 70, we have to write this in numerical form by changing ‘of’ into the multiplication sign. Then we have to convert 60% into its fractional form by dividing 60 by 100 and simplify.

Complete step by step solution:
We have to find the value of 60% of 70. Let us write 60% of 70 in numerical form. For this we have to change ‘of’ into the multiplication sign (x).
$\Rightarrow 60\mathrm{\%}\times 70$
Now, we have to convert 60% into its fractional form. For this, we have to divide 60 by 100.
$\Rightarrow {\displaystyle \frac{60}{100}}\times 70$
Now, let us simplify the above result. We have to cancel the zeroes from the numerator (60 and 70) and the denominator (100).
$\Rightarrow {\displaystyle \frac{6\text{cancel}0}{1\text{cancel}0\text{cancel}0}}\times 7\text{cancel}0$
We can write the result of the above simplification as
$\Rightarrow 6\times 7$
Now, let us do the multiplication operation.
$\Rightarrow 6\times 7=42$
Hence, 60% of 70 is 42.

Note: Students must know how to convert a percentage into its number form and vise-versa. The former is done by dividing the percentage number by 100 while the latter is done by multiplying the number by 100. The better way to simplify is by cancelling the common terms and factors. The zeroes, if present, in the numerator and denominator must be cancelled so that the simplification will be easier. We can only do this if the numerator and denominator is a simple term or a product.