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Alenkinab [10]
3 years ago
11

How do you use the LCM (least common multiple) to write two or more fractions with a common denominator?

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0
E.g. 1/4 and 1/3
The LCM of the denominators (4 and 3) is 12
So 1/4 can be written as 3/12
And 1/3 can be written as 4/12
You can then add the fractions if you wish to make 7/12
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X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.
Sunny_sXe [5.5K]

The values of x and y are 99 and 343

<h3>The HCF</h3>

The HCF of numbers is the highest common factors of the numbers

<h3>The LCM</h3>

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

HCF = 21

LCM = 1617

Multiply the HCF and the LCM

HCF \times LCM = 21 \times 1617

HCF \times LCM = 33957

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

x \times y = 33957

<h3>Prime Factors</h3>

Express 33957 as a prime factor

x \times y = 3^2 \times 7^3 \times 11

Rewrite the equation as

x \times y = 99 \times 7^3

x \times y = 99 \times 343

By comparison:

x = 99

y= 343

Hence, the values of x and y are 99 and 343

Read more about HCF and LCM at:

brainly.com/question/420337

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