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10. Simplify a) (-8/19)+(-2/57) b) (-6/13)-(-7/13) c) (5/63)-(-8/21) d) (13/5)-(12/25)


User Kroky
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a) (-8/19)+(-2/57)

Detailed Solution :

Finding a common denominator for the percentages is the first step. 57 is the least frequent three between 19 and. As a result, we change- 8/ 19 to -24/ 57. The two fractions are then added:

-24/57 + -2/57 = -26/57

b) (-6/13)-(-7/13)

Detailed Solution :

Since the denominators are identical, we can easily subtract the numerators:

-6 - (-7) = -6 + 7 = 1

So, the result is 1/13.

c) (5/63)-(-8/21)

Detailed Solution :

To proceed, we must first find a common denominator for the fractions. In this case, the least common multiple of 63 and 21 is 63. Therefore, we can rewrite 8/21 as 24/63. After that, we can subtract the two fractions.

5/63 - (-24/63) = 5/63 + 24/63 = 29/63

d) (13/5)-(12/25)

Detailed Solution :

To find the least common multiple of 5 and 25, we get 25. Next, we convert 13/5 to 65/25. After that, we subtract the two fractions.

65/25 - 12/25 = 53/25

However, 53/25 can be simplified to 2 3/25.

User Shelby
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