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ruslelena [56]
3 years ago
7

Charles bought 7/8 foot of electrical wire and 5/6 foot of copper wire for his science project .What is the least common denomin

ator of the fractions?
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

The least common denominator of the fractions is 24

Step-by-step explanation:

we know that

The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions

so

we have

7/8

Multiples of 8 -------> 8,16,24,32,...

5/6

Multiples of 6 -------> 6,12,18,24,...

24 is a common multiple of 6 and 8.  It is their lowest common multiple

<em>Alternative Method</em>

we have

8=2^{3}

6=2*3

The least common multiple are those common and non-common numbers with the greatest exponent

so

lcm= 2^{3}*3=24

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