Question

1. \\(\frac{3m}{4} - \frac{m}{12} = \frac{7}{8}\\) 31.

Explanation:

Step1: Find common denominator

The least common denominator of 4, 12, and 8 is 24. Multiply each term by 24 to eliminate fractions:
$$24 \times \frac{3m}{4} - 24 \times \frac{m}{12} = 24 \times \frac{7}{8}$$

Step2: Simplify each term

Calculate the product for each term:
$$6 \times 3m - 2 \times m = 3 \times 7$$
$$18m - 2m = 21$$

Step3: Combine like terms

Combine the terms with $m$:
$$16m = 21$$

Step4: Solve for m

Divide both sides by 16 to isolate $m$:
$$m = \frac{21}{16}$$

Answer:

$m = \frac{21}{16}$