find the least common denominator for each part by multiple method 1/2,7/10
Answers
Answer:
36/24, 9/24, 20/24, 72/24
Step-by-step explanation:
Example Using the Lowest Common Denominator Calculator
Find the LCD of: 1 1/2, 3/8, 5/6, 3
Convert integers and mixed numbers to improper fractions.
3/8 and 5/6 are already fractions so we can use those as they are written.
1 1/2 is the same as (1/1) + (1/2). Using the formula for adding fractions, ((n1*d2)+(n2*d1)) / (d1*d2), we get ((1*2)+(1*1)) / (1*2) = 3/2.
3 can be rewritten as a fraction as 3/1
Equivalent fractions are: 3/2, 3/8, 5/6, 3/1
Now find the least common denominator (LCD) (or the least common multiple (LCM) of the denominators)
LCD = 24
Rewriting the fractions as equivalent fractions using the LCD
36/24, 9/24, 20/24, 72/24
Solution:
Rewriting input as fractions if necessary:
3/2, 3/8, 5/6, 3/1
For the denominators (2, 8, 6, 1) the least common multiple (LCM) is 24.
LCM(2, 8, 6, 1)
Therefore, the least common denominator (LCD) is 24.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1 1/2 = 3/2 × 12/12 = 36/24
3/8 = 3/8 × 3/3 = 9/24
5/6 = 5/6 × 4/4 = 20/24
3 = 3/1 × 24/24 = 72/24
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