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kicyunya [14]
3 years ago
8

6: REDUCE to simplest term. 4/1 + 15/2​

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

\frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

Step-by-step explanation:

Given the expression

\frac{4}{15}+\:\frac{1}{2}

Thus, solving to reduce to the simplest term

\frac{4}{15}+\frac{1}{2}

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}

Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

            =\frac{8+15}{30}

Add the numbers: 8+15 = 23

            =\frac{23}{30}

Therefore, \frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

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3 years ago
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A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dime
sammy [17]

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

∵ The width of the carpet is x inches

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∴ The length of the carpet is (x + 67) inches

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

∴ 2(length + width) = 194

→ Divide both sides by 2

∴ length + width = 97

→ Substitute the value of the length and width in the equation above

∵ x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

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→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

∴ 2x = 30

→ Divide both sides by 2

∴ x = 15

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3 0
3 years ago
A​ student's course grade is based on one midterm that counts as 20​% of his final​ grade, one class project that counts as 5​%
Ludmilka [50]

Answer:

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Step-by-step explanation:

The weighted average of the student's scores is ...

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Answer:

-3

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7 0
2 years ago
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What is 15 - 1/6n = 1/6n - 1
eduard
15-1/6n=1/6n-1
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16=1+1/6n
16=2/6n
16=1/3n
16*3/1=n
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3 years ago
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