How do you know if the pair 4/3 and 8/6 form a proportion?

Question

How do you know if the pair 4/3 and 8/6 form a proportion?

1 Answer

Impact of this question

8322 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-06T10:25:52

If you divide one into the other and the answer is 1 then they are of the same ratio.

Explanation:

Write in faction format $\frac{4}{3}; \frac{8}{6}$ $" "4/3"; "8/6$

$The test process$ $color(blue)("The test process")$

$\frac{4}{3} \div \frac{8}{6}$ $4/3-:8/6$

$\frac{4}{3} \times \frac{6}{8} = \frac{4 \times 6}{3 \times 8} = \frac{6 \times 4}{3 \times 8}$ $color(green)(4/3xxcolor(red)(6/8)" "=" "(4xxcolor(red)(6))/(3xxcolor(red)(8))" "=" "(color(red)(6)xx4)/(3xxcolor(red)(8)))$

$= \frac{6}{3} \times \frac{4}{8} = 2 \times \frac{1}{2}$ $" "=" "color(green)((color(red)(6))/3xx4/(color(red)(8))" "=" "2xx1/2$

$= 1$ $" "=" "1$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$A different test$ $color(blue)("A different test")$

Multiply by 1 and you do not change the value. However, 1 comes in many forms. So you can change the way a proportion or fraction looks without changing its actual value.

$\frac{4}{3} \times 1 = \frac{4}{3} \times \frac{2}{2} = \frac{8}{6}$ $color(green)(4/3color(red)(xx1) " "=" "4/3color(red)(xx2/2)" "=" "8/6$

Thus it is true that $\frac{4}{3} \equiv \frac{8}{6}$ $4/3-=8/6$

Where $\equiv$ $-=$ means 'proportional to'

Science

Math

Humanities

... and beyond

How do you know if the pair 4/3 and 8/6 form a proportion?

1 Answer

Explanation:

Related questions

Impact of this question