Answer:
1/12 = 2/24 and 3/8 = 9/24
Explanation:
Here’s one way to find the least common denominator (LCD).
Step 1. Write out all the factors of each denominator
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 8 = 1, 2, 4, 8
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Step 2. Identify the greatest common factor (GCF) of each denominator
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 8 = 1, 2, 4, 8
GCF = 4
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Step 3. Multiply the denominators together
12 × 8 = 96
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Step 4. Divide the product by the GCF
96/4 =24
The LCD is 24.
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Step 5. For each fraction, divide the LCD by the denominator.
Then multiply both numerator and denominator by the quotient.
For 1/12: 24/12 = 2; (1×2)/(12×2 ) = 2/24
For 3/8: 24/8 = 3; (3×3)/(8×3) = 9/24
The alternate fractions are: 1/12 = 2/24 and 3/8 = 9/24.