Question

Explain how to calculate a number that is equal to 2.1/1.5

Answer 1

We are given a number here and we have to find a number that is equivalent to it. So, basically here there are decimal numbers in the form of fraction. We'll first remove the decimals first and then solve it further.

$\longrightarrow \sf { \dfrac{2.1}{1.5} }$

Removing decimals & multiplying 10 in the numerator and the denominator.

$\longrightarrow \sf { \dfrac{2.1 \times 10}{15} }$

$\longrightarrow \sf { \dfrac{ 21\times \cancel{10}}{15 \times\cancel{1 0}} }$

$\longrightarrow \sf \red { \dfrac{21}{15} }$

Simply, 2.1/1.5 can be written as 21/15.So, it'll be easy to find the numbers equivalent to 21/15.

We can find the number equivalent to any number by either multiplying the same number with the number in the numerator and the denominator or dividing the same number with the number in the numerator and the denominator.

Let's solve it by both multplying and dividing.

• Divide both numerator and denominator by 3.

$\longrightarrow \sf { \dfrac{21}{15} = \dfrac{21 \div 3}{15 \div 3} }$

$\longrightarrow \sf \red { \dfrac{21}{15} = \dfrac{7}{5} }$

Therefore, a number equal to 2.1/1.5 is 7/5.

• Multiply both numerator and denominator with 3.

$\longrightarrow \sf { \dfrac{21}{15} = \dfrac{21 \times 3}{15 \times 3} }$

$\longrightarrow \sf \red { \dfrac{21}{15} = \dfrac{63}{45} }$

Therefore, another number equal to 2.1/1.5 is 63/45.

Similarly, we can find many numbers equal to another numbers by multiplying or dividing the same number with the numerator and the denominator.

Answer 2

Given fraction:-

$\frac{2.1}{1.5}$

Then we need to find a number that is equal to it.

Now, multiplying the given fraction by 10, we get

$=>\frac{2.1\times 10}{1.5\times 10}\\=> \frac{21}{15}$  

We will also get the number equal to it by multiplying as well as dividing the fraction.

Multiply the fraction by 3,

$=>\frac{21\times 3}{15\times 3}\\=> \frac{63}{45}$

As the number equal to $\frac{2.1}{1.5}$ is $\frac{63}{45}.$.

Now, Divide the fraction by 3,

$=>\frac{21\div3}{15\div 3}\\=> \frac{7}{5}$

The number equal to $\frac{2.1}{1.5}$ is $\frac{7}{5}.$