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Alborosie
3 years ago
6

7/10 +2/15 = 2 3/3+ 3 1/2= 15/16 - 11/12 = 11/15 - 7/20

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0

Answer:

Addition and Subtraction of Fractions · 1. Add: (i) 7/ 10 + 2/15 (ii) 2²/₃ + 3¹/₂ · 2. Simplify: (i) 15/16 – 11/12 (ii) 11/15 – 7/20 · 3. Simplify: 4⁵/₆ – 2³/₈ + .

galina1969 [7]3 years ago
5 0

Answer:

7/10 + 2/15= 5/6

2 3/3 + 3 1/2= 6 1/2

15/16 - 11/12= 1/48

11/15 - 7/20= 23/60

Step-by-step explanation:

When adding or subtracting fraction with different denominators, we must find there LCM to be their new denominators. Then divide the new denominator by the old denominator, do for both fractions, then multiply the answer with the numerator, do for both fractions to get their new numerators. Then add or subtract the fractions. Then simplify the answer if needed.

Ex 1:

The LCM of 10 and 15 is 30

7/10 + 2/15

(30 ÷ 10=3, 3 × 7= 21)(30 ÷ 15= 2, 2 × 2=4)

=21/30 + 4/30= 25/30 or 5/6

With whole numbers, add the two whole numbers together. Then n add the fractions. Lastly add both of the answers together.

Ex:

The LCM of 3 and 2 is 6

2 3/3 + 3 1/2

=2 + 3= 5

= 3/3 + 1/2= 9/6 or 1 3/6 or 1 1/2

= 5 + 1 1/2

= 6 1/2

Always remember to simplify if possible or necessary.

I hope this helps! I'm sorry if it's wrong or too complicated.

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Answer:

Step-by-step explanation:

The area of a circle is calculated using the formula: πr^2

The circumference of a circle is calculated using: 2πr

We are given 8 questions, So by addressing them individually

1) Area of Circle 1:

Radius = r = 12 mi

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Given angle = 90

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Therefore, the circle 1 is 1/4 of the complete circle with r = 12.

In this way, its area will be 1/4 of the complete circle.

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Area = 1/4 (πr^2)

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2) Area of Circle 2:

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Given angle = 315

Ratio of given circle to complete circle = 315/360

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In this way, its area will be 7/8 of the complete circle.

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Area = 7/8 (πr^2)

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3) Area of Circle 3:

Radius = r = 15 km

Total angle in a circle = 360°

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In this way, its area will be 3/4 of the complete circle.

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4) Area of Circle 4:

Radius = r = 6 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 90/360

=> 3/4

Therefore, the circle 4 is 3/4 of the complete circle with r = 6.

In this way, its area will be 3/4 of the complete circle.

Hence

Area = 3/4 (πr^2)

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=> 3/4 (36π)

=> 27π   Hence answer is not provided that is option f

5) Circumference of Circle 1:

Radius = r = 12 mi

Total angle in a circle = 360°

Given angle = 90

Ratio of given circle to complete circle = 90/360

=> 1/4

Therefore, the circle 1 is 1/4 of the complete circle with r = 12.

In this way, its circumference will be 1/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

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6) Circumference of Circle 2:

Radius = r = 19 in

Total angle in a circle = 360°

Given angle = 315

Ratio of given circle to complete circle = 315/360

=> 7/8

Therefore, the circle 2 is 7/8 of the complete circle with r = 19.

In this way, its circumference will be 7/8 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 7/8 (2πr) + 2r

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7) Circumference of Circle 3:

Radius = r = 15 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

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Therefore, the circle 3 is 3/4 of the complete circle with r = 15.

In this way, its circumference will be 3/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

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Circumference = 3/4 (2πr) + 2r

=> 3/4 (2π19) + 2*15

=> 3/4 (38π) + 38

=> 28.5π + 38 Hence answer is not provided that is option f

8) Circumference of Circle 4:

Radius = r = 6 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

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Therefore, the circle 3 is 3/4 of the complete circle with r = 6.

In this way, its circumference will be 3/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 3/4 (2πr) + 2r

=> 3/4 (2π6) + 2*6

=> 3/4 (12π) + 12

=> 9π + 12 Hence answer is not provided that is option f

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