Fraction. 5/12 – \frac{1}{4} – 1/8 =? a. \frac{3}{4} b. 1/24 c. 3/8 d. \frac{1}{4} Clear my choice
The Correct Answer and Explanation is:
To solve the fraction expression 512−14−18\frac{5}{12} – \frac{1}{4} – \frac{1}{8}125−41−81, we need to follow these steps:
Step 1: Find the Least Common Denominator (LCD)
The denominators are 12, 4, and 8. To subtract these fractions, we first need to find the least common denominator (LCD). The LCD of 12, 4, and 8 is 24, since 24 is the smallest number that all three denominators divide into.
Step 2: Convert each fraction to have a denominator of 24
Now, we rewrite each fraction with 24 as the denominator:
- 512=5×212×2=1024\frac{5}{12} = \frac{5 \times 2}{12 \times 2} = \frac{10}{24}125=12×25×2=2410
- 14=1×64×6=624\frac{1}{4} = \frac{1 \times 6}{4 \times 6} = \frac{6}{24}41=4×61×6=246
- 18=1×38×3=324\frac{1}{8} = \frac{1 \times 3}{8 \times 3} = \frac{3}{24}81=8×31×3=243
Step 3: Perform the subtraction
Now, we subtract the fractions:1024−624−324=10−6−324=124\frac{10}{24} – \frac{6}{24} – \frac{3}{24} = \frac{10 – 6 – 3}{24} = \frac{1}{24}2410−246−243=2410−6−3=241
Final Answer:
The result of 512−14−18\frac{5}{12} – \frac{1}{4} – \frac{1}{8}125−41−81 is 124\frac{1}{24}241.
The correct answer is b. 124\frac{1}{24}241.
Explanation:
To subtract fractions, it’s essential to express all fractions with a common denominator. Once the fractions are equivalent with a common denominator, you can perform the subtraction on the numerators while keeping the denominator the same. After performing the operations, simplify the fraction, if needed, to get the final result.
