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6 votes
6 votes
Rational Numbers-

1. -2 4/5 - 6 2/15
2. -5/12 + 7/8
3. 3 3/5 x 2/9
4. Convert to a decimal. -5 1/20
5. Which number is the largest? -0.65, -0.622, -5/8

User Amitizle
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1 Answer

8 votes
8 votes

Answer:

1.

-9 11/15

2. 11/24

3.

34/45

4. -5.05

5. -0.622

Explanation:

1. -2 4/5 - 6 2/15

convert them to a common denominator and an improper fraction:

-2 4/5= 18/5=- 54/15 -6 2/15= 92/ 15

*15 is the other denominator, so you keep the numbers in the second number the same*

subtract: -54/15- 92/15

since you are subtracting a negative number it goes farther away from zero

-146/15 or -9 11/15

2. -5/12 + 7/8

convert them to a common denominator

-5/12=- 20/48 7/8= 35/40

add: -20/48+35/40

11/24

since you are adding a negative number it goes closer to zero or past zero:

3. 3 3/5 x 2/9

convert 3 3/5 to an improper fraction: 18/5

mulitply the two denominators and the two numerators

17/5 x 2/9= 34/45

This is also the simplest form.

4. Convert to a decimal. -5 1/20

keep the -5 beacuse that is a whole number

divide 1/20 to turn it to a decimal to get 0.05

5. Which number is the largest? -0.65, -0.622, -5/8

to find this you would have to convert all numbers to either a decimal or a fraction.

5/8 is 0.625

the one closest to zero is the largest which is -0.622

User Jedifans
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