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ratelena [41]
3 years ago
15

This is about fractions i have three questions: 1} subtract 3 1/4 from 4 2/3 2}simplify 7 3/4 divided by 8/62 3} subtract the su

m of 4 2/3 and 1 2/5 from the sum of 2 5/7 and 3 2/3 pls do answer
Mathematics
1 answer:
Scrat [10]3 years ago
5 0

Answer:

  1. 1 5/12
  2. 60 1/16
  3. 11/35

Step-by-step explanation:

1) 4 2/3 - 3 1/4 = (4 -3) +(2/3 -1/4) = 1 + (8/12 -3/12) = 1 5/12

__

2) (7 3/4)/(8/62) = (31/4)(62/8) = (31/4)(31/4) = 961/16 = 60 1/16

__

3) (2 5/7 +3 2/3) -(4 2/3 +1 2/5) = (2 + 3 -4 -1) +(5/7 +2/3 -2/3 -2/5)

  = 5/7 -2/5 = (25 -14)/35 = 11/35

_____

<em>Notes on arithmetic with fractions</em>

It can be helpful to make use of a common denominator when adding or subtracting fractions. Your knowledge of multiplication tables can help you find a suitable common denominator. Without too much effort, you can use the product of denominators as the common denominator, though doing that may require you to reduce the resulting fraction.

__

If you need a formula for addition or subtraction of fractions, this is it:

  a/b + c/d = (ad +bc)/(bd)

A sign can be attached to any of these numbers, so that ...

  a/b - c/d = (ad -bc)/(bd)

Using this formula is how we worked problem 3. It is essentially the same as rewriting each fraction to use the common denominator bd:

  a/b = ad/(bd)

  c/d = bc/(bd)

__

Of course, division of fractions (or any sort of division, actually) is the same as multiplying by the inverse (reciprocal) of the denominator. The mantra "invert and multiply" can be a useful reminder of this.

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22

Step-by-step explanation:

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Which of the following prove that (-3) + 5 = 2? Select all that apply.
MakcuM [25]

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Step-by-step explanation:

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7 0
3 years ago
2. Maria is monitoring the temperature of
stiks02 [169]

Here, we are required to determine after how many minutes will the two substances be at the same temperature.

The equation of when the two substances will be at the same temperature and the solution are as follows;

(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).

(b) The solution is, x = 3.285minutes.

For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;

  • T(a) = 96.2 + 1.5(x)

For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;

  • T(b) = 98.5 + 0.8(x)

(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).

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The equation is therefore;.

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(b) To determine the solution;

1.5x - 0.8x = 98.5 - 96.2

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x = 2.3/0.7

x = 3.285minutes.

Read more:

brainly.com/question/20248109

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2 years ago
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