Answer
Answer:
A. $\frac{1}{15}$
B. $\frac{35}{24}$
Work Step by Step
A.)
$\frac{2}{3}-\frac{3}{5}$
To solve this we need to find the LCM of the denominator of both the fractions.
I.e. LCM of 3 & 5 is 15.
So now, Multiplay both fractions to make denominator as the LCM of both the denominators.
$\frac{2\times5}{3\times5}-\frac{3\times3}{5\times3}$
= $\frac{10}{15}-\frac{9}{15}$
= $\frac{10-9}{15}$
= $\frac{1}{15}$
B.)
$1+\frac{5}{8}-\frac{1}{6}$
= $\frac{1}{1}+\frac{5}{8}-\frac{1}{6}$
To solve this we need to find the LCM of the denominator of all the fractions.
I.e. LCM of 1, 8 & 6 is 24.
So now, Multiplay both fractions to make denominator as the LCM of both the denominators.
$\frac{1\times24}{1\times24}+\frac{5\times3}{8\times3}-\frac{1\times4}{6\times4}$
= $\frac{24}{24}+\frac{15}{24}-\frac{4}{24}$
= $\frac{24+15-4}{24}$
= $\frac{35}{24}$