To find: The least common denominator of the fractions. \frac{2}{5x} + \frac{3x}{4} \frac{x}{2y} + \frac{y}{3x}

aortiH

aortiH

Answered question

2021-08-03

To find:
The least common denominator of the fractions.
1) 25x+3x4
2) x2y+y3x

Answer & Explanation

Macsen Nixon

Macsen Nixon

Skilled2021-08-04Added 117 answers

The least common denominator is defined as the least common multiple of the denominators of the set of fractions.
Example 1:
25x+3x4
Now write each denominator as a product of prime factors,
5x=5×x
4=2×2
Now, form the product of all prime factors,
L.C.D.=5×x×2×2=20x
Example 2:
x2y+y3x
Now write each denominator as a product of prime factors,
2y=2×y
3x=3×x
Now, form the product of all prime factors,
L.C.D.=2×y×3×x=6xy
The Final Statement:
The least common denominator is defined as the least common multiple of the denominators of the set of fractions.

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