Question

A) 5/8+7/8-1/8=b) 5/9-(4/9-1/9)=C) 4 4/33+3 7/33=d) 5 13/18-2 7/18=​

Answer 1

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Answer 2

Let's solve each of these arithmetic expressions step by step:

A) 5/8 + 7/8 - 1/8: First, add the fractions with the same denominator: (5/8) + (7/8) = (5 + 7)/8 = 12/8 = 3/2

Now, subtract 1/8 from the result: (3/2) - (1/8) = (12/8) - (1/8) = 11/8

So, the answer to A) is 11/8.

B) 5/9 - (4/9 - 1/9): Inside the parentheses, subtract 4/9 from 1/9: 1/9 - 4/9 = -3/9 = -1/3

Now, subtract this result from 5/9: (5/9) - (-1/3) = (5/9) + (1/3)

To add these fractions, we need a common denominator, which is 9: (5/9) + (1/3) = (5/9) + (3/9) = (5 + 3)/9 = 8/9

So, the answer to B) is 8/9.

C) 4 4/33 + 3 7/33: To add mixed numbers, first add the whole numbers together: 4 + 3 = 7

Now, add the fractions: 4/33 + 7/33 = (4 + 7)/33 = 11/33

Combine the whole number and the fraction: 7 11/33

So, the answer to C) is 7 11/33.

D) 5 13/18 - 2 7/18: To subtract mixed numbers, first subtract the whole numbers: 5 - 2 = 3

Now, subtract the fractions: 13/18 - 7/18 = (13 - 7)/18 = 6/18

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6: (6/6) / (18/6) = 1/3

Combine the whole number and the fraction: 3 1/3

So, the answer to D) is 3 1/3.