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den301095 [7]
3 years ago
13

I need to find the LCD of fractions 3/4 + 6/7 and how to solve

Mathematics
1 answer:
alexira [117]3 years ago
7 0

The least common denominator of two fraction is the least common multiple of the two denominator.

The least common multiple of 4 and 7 is their product 28, because 4 and 7 have no common factor.

Now, we need to manipulate both fractions so that they have denominator 28. Recalling that you can multiply numerator and denominator of a fraction by the same number without affecting its value, we have

\dfrac{3}{4}=\dfrac{3\cdot 7}{4\cdot 7}=\dfrac{21}{28},\quad \dfrac{6}{7}=\dfrac{6\cdot 4}{7\cdot 4}=\dfrac{24}{28}

So, the sum becomes

\dfrac{3}{4}+\dfrac{6}{7}=\dfrac{21}{28}+\dfrac{24}{28}=\dfrac{21+24}{28}=\dfrac{45}{28}

In fact, when two fractions have the same denominator, you can directly sum their numerators.

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