Question

1. \\(\frac{5x}{3} - \frac{7x}{8}\\)

Explanation:

Step1: Find a common denominator

The denominators are 3 and 8, so the common denominator is $3\times8 = 24$. Rewrite each fraction with the common denominator:
$\frac{5x}{3}=\frac{5x\times8}{3\times8}=\frac{40x}{24}$
$\frac{7x}{8}=\frac{7x\times3}{8\times3}=\frac{21x}{24}$

Step2: Subtract the fractions

Now subtract the two fractions:
$\frac{40x}{24}-\frac{21x}{24}=\frac{40x - 21x}{24}$

Step3: Simplify the numerator

Simplify the numerator:
$40x-21x = 19x$
So the result is $\frac{19x}{24}$

Answer:

$\frac{19x}{24}$