To find the next term, we subtract (1)/(8) from the last term (5)/(8). This yields (4)/(8). Simplifying (4)/(8) by dividing both the numerator and denominator by their greatest common divisor, 4, gives (1)/(2).

To find the next term, we subtract (1)/(8) from the last term (5)/(8). This yields (4)/(8). Simplifying (4)/(8) by dividing both the numerator and denominator by their greatest common divisor, 4, gives (1)/(2).

What is the next fraction in the sequence:- 7/8, 3/4 and 5/8

Answer: $\frac{1}{2}$

Step-by-step solution

Step 1: Convert fractions to a common denominator

To compare fractions easily and identify a pattern, we write each fraction with a common denominator. The denominators given are $8$ , $4$ , and $8$ , so the least common denominator is $8$ . Converting $\frac{3}{4}$ into an equivalent fraction with denominator $8$ , we multiply both the numerator and denominator by $2$ to get $\frac{6}{8}$ .

Step 2: Rewrite the sequence and identify the pattern

With a common denominator, the sequence is written as $\frac{7}{8}, \frac{6}{8}, \frac{5}{8}$ . Looking at the numerators, we see the sequence of numbers $7, 6, 5$ , which decreases by $1$ at each step. This means each term is obtained by subtracting $\frac{1}{8}$ from the preceding term.

Step 3: Find the next fraction in the sequence

To find the next term, we subtract $\frac{1}{8}$ from the last term $\frac{5}{8}$ . This yields $\frac{4}{8}$ . Simplifying $\frac{4}{8}$ by dividing both the numerator and denominator by their greatest common divisor, $4$ , gives $\frac{1}{2}$ .

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