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katrin [286]
3 years ago
10

Add or subtract. Express simplest form 1 2/5 - (-1 2/15

Mathematics
1 answer:
Elenna [48]3 years ago
6 0
Its 2 8/15 Conversion a mixed number 1 2
5
to a improper fraction: 1 2/5 = 1 2
5
= 1 · 5 + 2
5
= 5 + 2
5
= 7
5


To find new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5
5
= 5
5

b) Add the answer from previous step 5 to the numerator 2. New numerator is 5 + 2 = 7
c) Write previous answer (new numerator 7) over the denominator 5.

One and two fifths is seven fifths
Conversion a mixed number -1 2
15
to a improper fraction: -1 2/15 = -1 2
15
= -1 · 15 + (-2)
15
= -15 + (-2)
15
= -17
15


To find new numerator:
a) Multiply the whole number -1 by the denominator 15. Whole number -1 equally -1 * 15
15
= -15
15

b) Add the answer from previous step -15 to the numerator 2. New numerator is -15 + 2 = -13
c) Write previous answer (new numerator -13) over the denominator 15.

Minus one and two fifteenths is minus thirteen fifteenth
Subtract: 7
5
- (-17
15
) = 7 · 3
5 · 3
- (-17)
15
= 21
15
- (-17
15
) = 21 - (-17)
15
= 38
15

The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 15) = 15. The fraction result cannot be further simplified by cancelling.
In words - seven fifths minus minus seventeen fifteenth = thirty-eight fifteenths.
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Answer:D) 1 hr

Step-by-step explanation:

Given

Pump A and B can fill tank in \frac{6}{5} hr

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Let A be the total hr taken A therefore rate of A=\frac{1}{A} /hr

Let B be the total hr taken B therefore rate of B=\frac{1}{B} /hr

Let C be the total hr taken C therefore rate of C=\frac{1}{C} /hr

\frac{1}{A}+\frac{1}{B}=\frac{5}{6}-----1

\frac{1}{B}+\frac{1}{C}=\frac{1}{2}-----2

\frac{1}{A}+\frac{1}{C}=\frac{2}{3}-----3

Adding 1,2 & 3

2(\frac{1}{A}+\frac{1}{B}+\frac{1}{C})=\frac{5}{6}+\frac{1}{2}+\frac{2}{3}

\frac{1}{A}+\frac{1}{B}+\frac{1}{C}=\frac{2}{2}

\frac{1}{A}+\frac{1}{B}+\frac{1}{C}=1

thus time taken by A,B and C combined is 1 hr

7 0
3 years ago
What is the equation of the line x–3y=18 in slope-intercept form?
olya-2409 [2.1K]
Solve the equation for y 

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-3y = -18-x

now, divide both sides with -3

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your slope is 1/3

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4 0
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poizon [28]

Answer:

7r^2-64r+64

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Step-by-step explanation:

8 0
2 years ago
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Answer:

No.

Step-by-step explanation:

Let's find out if 1 bag of soil is enough to fill 1 container.

<u>Given:</u>

2/5 of a bag fills 1/3s of a containter.

With the given, multiplying 2/5 by 2.5 represents one. Multiply 1/3 by 2.5 aswell.

<u>Products:</u>

1, and 2.5/3 or 5/6

1 bag can fill 5/6 of a container.

Therefore, 1 bag can't fill 1 container.

7 0
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Kim rolls a dice and flips a coin
tankabanditka [31]

Answer:

part a

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part b

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6 0
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