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MaiiR01
19.12.2019 •
Mathematics
Mia has a rectangle cloth
she dips 5/8 of it in blue dye
she dips 9/20 in yellow
the part of the cloth that is dipped in both colours turns green.
work out the fraction of cloth that turns green.
plz show working
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Ответ:
Fraction of cloth that turns green =![\frac{3}{40}](/tpl/images/0426/7067/60a94.png)
Step-by-step explanation:
Let total cloth be of length = 1 unit
Given
of it is dipped in blue dye.
Fraction which is not dipped in blue is given as:
⇒![1-\frac{5}{8}](/tpl/images/0426/7067/8b5c9.png)
Taking LCD to subtract fractions.
⇒![\frac{8}{8}-\frac{5}{8}](/tpl/images/0426/7067/15bf1.png)
⇒![\frac{3}{8}](/tpl/images/0426/7067/95a07.png)
She dips
in yellow.
Comparing the fraction dipped in yellow which is
and fraction which is not dipped in blue i.e. ![\frac{3}{8}](/tpl/images/0426/7067/95a07.png)
Taking LCD between 8 and 20 = 40
We have:
Thus, we can say![\frac{9}{20}\frac{3}{8}](/tpl/images/0426/7067/15a1b.png)
Since
, so the part dipped in yellow will also cover some part which is blue.
Thus, fraction dipped in yellow and blue which turns green will be given as:
⇒![\frac{9}{20}-\frac{3}{8}](/tpl/images/0426/7067/6d8c1.png)
Subtracting by taking LCD =40.
⇒![\frac{9\times 2}{20\times 2}-\frac{3\times 5}{8\times 5}](/tpl/images/0426/7067/efd72.png)
⇒![\frac{18}{40}-\frac{15}{40}](/tpl/images/0426/7067/d9008.png)
⇒
(Answer)
Ответ:
do you have a visual of the triangle?