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gregori [183]
4 years ago
14

How do i solve 4/9+5/6

Mathematics
2 answers:
Lorico [155]4 years ago
5 0

We  must find the common denominator.

It's LCM of 9 and 6.

Multiples of 6: 0, 6, 12, 18, 24, ...

Multiples of 9: 0, 9, 18, 27, ...

LCM(6, 9) = 18

18 = 3 · 6

18 = 2 · 9

\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\\\dfrac{5}{6}=\dfrac{5\cdot3}{6\cdot3}=\dfrac{15}{18}\\\\\dfrac{4}{9}+\dfrac{5}{6}=\dfrac{8}{18}+\dfrac{15}{18}=\dfrac{8+15}{18}=\dfrac{23}{18}=\dfrac{18+5}{18}=1\dfrac{5}{18}

----------------------------------------------------------------------------

Other method:

\dfrac{4}{9}+\dfrac{5}{6}=\dfrac{4\cdot6}{9\cdot6}+\dfrac{5\cdot9}{6\cdot9}=\dfrac{24}{54}+\dfrac{45}{54}=\dfrac{24+45}{54}=\dfrac{69}{54}=\dfrac{54+15}{54}\\\\=1\dfrac{15}{54}=1\dfrac{15:3}{54:3}=1\dfrac{5}{18}

Natasha_Volkova [10]4 years ago
5 0

Hello!

<u><em>Answer: =23/18.  *The answer must be have a fractions.</em></u>

Explanation:

Add the numbers and fractions.

8/18+15/18

When the denominator are equal, and it's going to be combine by the fractions.

8+15/18

15+8=23

=23/18

Hope this helps!

Thanks!

Have a great day!

-Charlie


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