Question

Г) 5/8 - 11/13. д) -2 1/4 -2 1/4 е) -1/2 - ( - 5/7) ж) - 9/10 - ( - 9/20)

Answer 1

Г) 5/8 - 11/13=65/104-88/104=-23/104
д) -2 1/4 -2 1/4 =-4 2/4=-4 1/2
е) -1/2 - ( - 5/7) =-1/2+5/7=-7/14+10/14=3/14
ж) - 9/10 - ( - 9/20)=-0.9+0.45=-0.45

Answer 2

To perform the calculations, let's simplify each expression:

Г) 5/8 - 11/13:

To subtract fractions, we need a common denominator, which is the least common multiple (LCM) of 8 and 13, which is 104. Now, we'll rewrite the fractions with the common denominator:

(5/8) * (13/13) - (11/13) * (8/8) = 65/104 - 88/104 = (65 - 88)/104 = -23/104.

д) -2 1/4 - 2 1/4:

To subtract mixed numbers, we subtract the whole numbers and the fractions separately:

-2 1/4 - 2 1/4 = (-2 - 2) + (1/4 - 1/4) = -4 + 0 = -4.

е) -1/2 - (-5/7):

To subtract a negative fraction, we can rewrite it as addition:

-1/2 + 5/7.

To add fractions, we need a common denominator, which is the least common multiple (LCM) of 2 and 7, which is 14. Now, we'll rewrite the fractions with the common denominator:

(-1/2) * (7/7) + (5/7) * (2/2) = -7/14 + 10/14 = (10 - 7)/14 = 3/14.

ж) -9/10 - (-9/20):

To subtract a negative fraction, we can rewrite it as addition:

-9/10 + 9/20.

To add fractions, we need a common denominator, which is the least common multiple (LCM) of 10 and 20, which is 20. Now, we'll rewrite the fractions with the common denominator:

(-9/10) * (2/2) + (9/20) * (1/1) = -18/20 + 9/20 = (-18 + 9)/20 = -9/20.

So, the simplified expressions are:

Г) -23/104 д) -4 е) 3/14 ж) -9/20