Question

Write the pair of fractions as a pair of fractions with a common denominator 3/4 and 2/5

Answer 1

Answer:

The common denominator $\frac{15}{20}$ and $\frac{8}{20}$

Step-by-step explanation:

To find the common denominator:

• We have to find the LCD of the denominators.
• Then multiply the fraction with the digit obtained from dividing the LCD with the denominator of the fraction concerned.

Here is the work:

LCD of $(4,5)$ is $(4\times 5)=20$.

So we will divide $20$ with $4$ and then with $5$ the quotient will further be put into the fraction.

So

$\frac{20}{4}=5$ will make the fraction $\frac{3}{4}$ as $\frac{3\times 5}{4\times 5} =\frac{15}{20}$.

Similarly

$\frac{20}{5}=4$ will make the fraction $\frac{2}{5}$ as $\frac{2\times 4}{5\times 4} =\frac{8}{20}$.

Hence with common denominators the fraction can be written as $(\frac{15}{20}),(\frac{8}{20})$.