Dividing Quantities

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Question 1 of 2

1. Question
Divide $$600$ into the ratio of $3:7$ .
- $$$ (180) $:$$ (420)
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A ratio compares quantities of the same type given in the same units.

First, add the ratios to get the total of the parts.

$3+7$ $=$ $10$

Convert the ratios into fractions of the total parts.

$3:7$ $=$ $3/(10):7/(10)$

Finally, multiply the ratios to the total value.

$3/(10)$ $times600$ $:$ $7/(10)$ $times600$ Multiply both sides by $600$

$(1800)/(10)$ $:$ $(4200)/(10)$ Evaluate

$180$ $:$ $420$

We can check by adding the ratios in our answer and the result will be the total value ( $$600$ ).

$180$ $:$ $420$

$180+420$ $=$ $600$

$$180:$420$
Question 2 of 2

2. Question
Divide $$99$ into the ratio of $2:6:3$ .
- $$$ (18) $:$$ (54) $:$$ (27)
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A ratio compares quantities of the same type given in the same units.

First, add the ratios to get the total of the parts.

$2+6+3$ $=$ $11$

Convert the ratios into fractions of the total parts.

$2:6:3$ $=$ $2/(11):6/(11):3/(11)$

Finally, multiply the ratios to the total value.

$2/(11)$ $times99$ $:$ $6/(11)$ $times99$ $:3/(11)$ $times99$ Multiply the ratios by $99$

$(198)/(11)$ $:$ $(594)/(11):(297)/(11)$ Evaluate

$18$ $:$ $54:27$

We can check by adding the ratios in our answer and the result will be the total value ( $$99$ ).

$18:54:27$

$18+54+27$ $=$ $99$

$$18:$54:$27$

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Quiz summary

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1. Question

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2. Question

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Quizzes

$3/(10)$ $times600$	$:$	$7/(10)$ $times600$	Multiply both sides by $600$

$(1800)/(10)$	$:$	$(4200)/(10)$	Evaluate

$180$	$:$	$420$

$2/(11)$ $times99$	$:$	$6/(11)$ $times99$ $:3/(11)$ $times99$	Multiply the ratios by $99$

$(198)/(11)$	$:$	$(594)/(11):(297)/(11)$	Evaluate

$18$	$:$	$54:27$

$18:54:27$
$18+54+27$	$=$	$99$