Question

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 sum of 4 2/3 and 1 2/5 from the sum of 2 5/7 and 3 2/3 pls do answer

Answer 1

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

_____

Notes on arithmetic with fractions

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.