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find the quotient of 1 2/3 divided by 35/6

 Oct 3, 2014

Best Answer 

 #1
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find the quotient of 1 2/3 divided by 35/6

 

OK, we have a mixed fraction that we must turn into an inproper fraction. We know that:

1 = 1/1

 

We have to make common denominators:

1 2/3 = 3/3 +2/3 = 5/3

 

So we get:

(5/3) : (35/6)

 

[Here we could have used the formula a b/c = (ac +b)/c to save time]

 

To divide by a fraction is the same as to multiply with the inverse:

(5/3) : (35/6) = (5/3) * (6/35) 

 

Multiply numerator by numerator, and denominator by denominator:

(5/3) * (6/35) = 30/105

 

We see that both the numerator and denominator has 5 as a divisor. Divide both the numerator and the denominator by 5:

30/105 = 6/21

 

Both the numerator and the denominator is divisible with 3:

2/7

 Oct 3, 2014
 #1
avatar
+5
Best Answer

find the quotient of 1 2/3 divided by 35/6

 

OK, we have a mixed fraction that we must turn into an inproper fraction. We know that:

1 = 1/1

 

We have to make common denominators:

1 2/3 = 3/3 +2/3 = 5/3

 

So we get:

(5/3) : (35/6)

 

[Here we could have used the formula a b/c = (ac +b)/c to save time]

 

To divide by a fraction is the same as to multiply with the inverse:

(5/3) : (35/6) = (5/3) * (6/35) 

 

Multiply numerator by numerator, and denominator by denominator:

(5/3) * (6/35) = 30/105

 

We see that both the numerator and denominator has 5 as a divisor. Divide both the numerator and the denominator by 5:

30/105 = 6/21

 

Both the numerator and the denominator is divisible with 3:

2/7

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