Question

subtracted -2/15 from-3/5 and added the result to 5/6
solve in statement​

Answer 1

Given:

Fractions -2/15,-3/5 and 5/6

To find:

The result of the difference of -3/5 and -2/15 and the sum of 5/6

Solution:

First,

Difference of -3/5 and -2/15.

-3/5 -(-2/15)

LCM of denominators i.e 5 and 15 = 5 * 3.

First -3/5,

Multiply numerator and denominator with 3.

-3*3/5*3 = -9/15

Second 2/15,

Multiplying both the sides with 1.

-2*1/15*1 = -2/15

Difference of -9/15 and -2/15.

-9/15 -(-2/15)

-9/15 + 2/15

-7/15 is the first part answer.

Second,

Sum of -3/5 -(-2/15) + 5/6 i.e -7/15 + 5/6

LCM of denominators i.e 15 and 6 = 5 * 3 * 2

First,

-7/15

Multiplying numerator and denominator with 2

-7*2/15*2

-14/30

Second,

5/6

Multiplying numerator and denominator with 5

5*5/5*6

25/30

Sum of -14/30 and 25/30 =

-14/30 + 25/30

11/30 is the answer.

Therefore, the final answer is 11/30.

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Answer 2

Given:

Fractions -2/15,-3/5 and 5/6

To find:

The result of the difference of -3/5 and -2/15 and the sum of 5/6

Solution:

First,

Difference of -3/5 and -2/15.

-3/5 -(-2/15)

LCM of denominators i.e 5 and 15 = 5 * 3.

First -3/5,

Multiply numerator and denominator with 3.

-3*3/5*3 = -9/15

Second 2/15,

Multiplying both the sides with 1.

-2*1/15*1 = -2/15

Difference of -9/15 and -2/15.

-9/15 -(-2/15)

-9/15 + 2/15

-7/15 is the first part answer.

Second,

Sum of -3/5 -(-2/15) + 5/6 i.e -7/15 + 5/6

LCM of denominators i.e 15 and 6 = 5 * 3 * 2

First,

-7/15

Multiplying numerator and denominator with 2

-7*2/15*2

-14/30

Second,

5/6

Multiplying numerator and denominator with 5

5*5/5*6

25/30

Sum of -14/30 and 25/30 =

-14/30 + 25/30

11/30 is the answer.

Therefore, the final answer is 11/30.