Add the following fractions answer in lowest terms.

1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=


please give me Right answers please.​

Answers

Answer 1

Answer:

1) 9/10 + 4/5 + 5/6 = 2 8/15

2) 14/15 + 2/9 + 1/5 = 1 16/45

==============================================

Solution:

[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]


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Step-by-step explanation:

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Answers

[tex]\pink{Answer}[/tex]

The measure of ∆a = 2x The measure of ∆b = 3x The measure of ∆c = 4x

[tex]\\ \sf\longmapsto2x + 3x + 4x = 180 \\ [/tex]

[tex]\\ \sf\longmapsto9x = 180 = > x = 20[/tex]

[tex]\\ \sf\longmapsto \: a = 2x = 2 \times 2 0 = 4 0 [/tex]

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[tex]\\ \sf\longmapsto \: c = 4x = 4 \times 20 = 80[/tex]

hence , angles of the triangle are 40 , 60 and 80

Question:-

The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .

Answer:-

40° , 60° and 80°

Explanation:-

We know that sum of all the angles of a triangle adds to 180° .

Let the angles be 2x , 3x and 4x

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=> 2x + 3x + 4x = 180°

=> 9x = 180°

=> x = 180/9

=> x = 20°

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Answers

Answer:

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5.6h - 2.7d - 14

Answer:

8h+-7.7d-14+5d-2.4h

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8h-2.7d-14-2.4h

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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