Question

1. what is the difference between

\\(\frac{3}{8}\\) and \\(\frac{1}{8}\\)? (7-1)

a \\(\frac{1}{2}\\)

b \\(\frac{1}{4}\\)

c \\(\frac{3}{16}\\)

d \\(\frac{1}{8}\\)

Explanation:

Step1: Subtract the two fractions

To find the difference between $\frac{3}{8}$ and $\frac{1}{8}$, we use the subtraction formula for fractions with the same denominator: $\frac{a}{b}-\frac{c}{b}=\frac{a - c}{b}$. Here, $a = 3$, $c = 1$, and $b = 8$. So we have $\frac{3}{8}-\frac{1}{8}=\frac{3 - 1}{8}$.

Step2: Simplify the numerator

Calculate $3-1 = 2$, so the fraction becomes $\frac{2}{8}$.

Step3: Reduce the fraction

Simplify $\frac{2}{8}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So $\frac{2\div2}{8\div2}=\frac{1}{4}$.

Answer:

B. $\frac{1}{4}$