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Alinara [238K]
3 years ago
11

Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ

er should be written as a mixed number.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

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Read the instructions first
Alinara [238K]

Answer:

Step-by-step explanation:

Step 1:

x - > number of Avocado

y -> number of melon

Step 2:

x ≤ 3y

x +  y ≥ 20

Step 3:

x + y≥ 20

     y ≥ -x + 20

Step 4:

( 1 , 20)

x ≤ 3y               ; y≥ -x + 20

1 ≤ 3*20          ;  20 ≥ -1 + 20

1 ≤ 60              ; 20 ≥ 19

3 0
3 years ago
Reduce a ratio 3/4in: 3/16 ft
Dmitrij [34]

Answer:

4in : 1ft

Step-by-step explanation:

We start with:

3/4 in = 3/16 ft

This means that the length of 3/4 inches is the same as the length of 3/16 feet.

To reduce this, we can start by dividing by 3 in both sides of the equation:

(3/4)/3 in = (3/16)/3 ft

1/4 in = 1/16 ft

Now we can multiply both sides by 16:

16/4 in = 16/16ft

4 in = 1ft

now we reduced the ratio to:

4in : 1ft

5 0
3 years ago
320 is decreased to 304
jeka57 [31]
Simple..

320-304
= 116

Your answer is 116

Happy Studying ^=^
8 0
3 years ago
Which number sentence is TRUE?
dexar [7]
C, 3 divided by 1 is 3 and 3 divided by 3 is only one, so it is true that 3 is greater than 1
4 0
3 years ago
Translate the following phrase to a mathematical expression and then evaluate the expression for n = 5.
zheka24 [161]
N divided by 20 and 4

3 0
3 years ago
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