Question

4/7+5/6;5/18+7/30;5/12+2/15;15/19+27/38

Answer 1

1 17/42 ; 23/45 ; 11/20 ;1 1/2
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Answer 2

To solve these problems, we need to find a common denominator for the fractions being added.

For 4/7 + 5/6:

• The least common multiple (LCM) of 7 and 6 is 42.
• We can convert 4/7 to 24/42 and 5/6 to 35/42.
• Then, we can add the numerators: 24/42 + 35/42 = 59/42.
• Simplifying the fraction, we get 1 17/42 as the final answer.

Therefore, 4/7 + 5/6 = 1 17/42.

For 5/18 + 7/30:

• The least common multiple (LCM) of 18 and 30 is 90.
• We can convert 5/18 to 25/90 and 7/30 to 21/90.
• Then, we can add the numerators: 25/90 + 21/90 = 46/90.
• Simplifying the fraction, we get 23/45 as the final answer.

Therefore, 5/18 + 7/30 = 23/45.

For 5/12 + 2/15:

• The least common multiple (LCM) of 12 and 15 is 60.
• We can convert 5/12 to 25/60 and 2/15 to 8/60.
• Then, we can add the numerators: 25/60 + 8/60 = 33/60.
• Simplifying the fraction, we get 11/20 as the final answer.

Therefore, 5/12 + 2/15 = 11/20.

For 15/19 + 27/38:

• The least common multiple (LCM) of 19 and 38 is 722.
• We can convert 15/19 to 570/722 and 27/38 to 579/722.
• Then, we can add the numerators: 570/722 + 579/722 = 1149/722.
• Simplifying the fraction, we get 1 407/722 as the final answer.

Therefore, 15/19 + 27/38 = 1 407/722.