Question

Fill in the blanks:

$\frac{3}{5}-\frac{4}{7}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $5$ and $7$ is $35$. Make the denominator as $35$ for both the fractions.

$\frac{3}{5}=\frac{3\times 7}{5\times 7}=\frac{21}{35}$;

$\frac{4}{7}=\frac{4\times 5}{7\times 5}=\frac{20}{35}$

• Step 2: Subtract the numerators and write the difference over the common denominator.

$\frac{21}{35}-\frac{20}{35}=\frac{21-20}{35}=\frac{1}{35}$

• Hence, $\frac{3}{5}-\frac{4}{7}=\frac{1}{35}$.