How do you know if the pair 6/9 and 2/3 form a proportion?

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How do you know if the pair 6/9 and 2/3 form a proportion?

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Answer 1 · 2016-07-14T14:34:16

They are proportions, see explanation.

Explanation:

First, set them both equal to each other.

$6/9 = 2/3$

Then, cross multiply. Follow this method: $a/b=c/d$ = $ad = bc$ .

$6(3) = 9(2)$

$18 = 18$

$18$ does equal $18$ , so the two fractions do show a proportion.

Another way to look at is to set both fractions equal and see what happened to one fraction to get to the other.

$2/3 = 6/9$

$(2times3)/(3times3) = 6/9$

$6/9 = 6/9$

We found that you can multiply $3/3$ to $2/3$ to get the other fraction or divide $3/3$ from $6/9$ to get the other fraction. These both represent proportions.

Answer 2 · 2016-07-14T16:38:44

See explanation

Explanation:

To investigate if $" "6/9-=2/3" "$ ( $-=$ means 'equivalent to')

$color(blue)("Consider the left hand side (LHS)")$

Using the property of ratios
Divide top and bottom by 3 giving

$(6-:3)/(9-:3) = 2/3$

$color(blue)("Comparing shows that "LHS-=RHS)$

Thus it is true that $6/9-=2/3$

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How do you know if the pair 6/9 and 2/3 form a proportion?

2 Answers

Explanation:

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