Question

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.​

Answer 1

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

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

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Solution:

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