MATHEMATICS MIDDLE SCHOOL

Mia has a rectangle clothShe 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

Answers

Answer 1
Answer:

Answer:

Fraction of cloth that turns green =  (3)/(40)

Step-by-step explanation:

Let total cloth be of length = 1 unit

Given (5)/(8) of it is dipped in blue dye.

Fraction which is not dipped in blue is given as:

⇒ 1-(5)/(8)

Taking LCD to subtract fractions.

⇒ (8)/(8)-(5)/(8)

⇒ (3)/(8)

She dips (9)/(20) in yellow.

Comparing the fraction dipped in yellow which is (9)/(20) and fraction which is not dipped in blue i.e. (3)/(8)

(9)/(20),(3)/(8)

Taking LCD between 8 and 20 = 40

We have:

(9* 2)/(20* 2),(3* 5)/(8* 5)

(18)/(40),(15)/(40)

Thus, we can say  (9)/(20)>(3)/(8)

Since (9)/(20)>(3)/(8), 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:

⇒ (9)/(20)-(3)/(8)

Subtracting by taking LCD =40.

⇒ (9* 2)/(20* 2)-(3* 5)/(8* 5)

⇒ (18)/(40)-(15)/(40)

⇒ (3)/(40)  (Answer)

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Answers

Answer:

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Answers

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Answer:

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Answers

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Answers

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Answers

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Answers


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