Question

divide - 1010.101 by 1.01 in full process

Answer 1

$\dfrac{1010.101}{1.01}=1000.1$

Tips:

If a, b, c, d are four numbers such that the express the situation $\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}$, then

$\boxed{\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times\dfrac{d}{c}}$

Step-by-step explanation:

Now, 1010.101 = $\dfrac{1010101}{1000}$

• Since there are three digits after the decimal point, we divide the whole number (remove the decimal point) by 1 followed by three 0s, i.e., by 1000.

and 1.01 = $\dfrac{101}{100}$

• Since there are two digits after the decimal point, we divide the whole number (remove the decimal point) by 1 followed by two 0s, i.e., by 100.

So, $\dfrac{1010.101}{1.01}$

= $\dfrac{\dfrac{1010101}{1000}}{\dfrac{101}{100}}$

= $\dfrac{1010101}{1000}\times\dfrac{100}{101}$

= $\dfrac{1010101}{101}\times\dfrac{100}{1000}$

= 10001 × $\dfrac{1}{10}$

= 1000.1