The cost of 3 1/2 m of cloth is RS 165 1/4. what is the cost of one meter of cloth ?
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Answer:
Step-by-step explanation:
To find: Determine the cost per meter of a meters cloth. Solution: Given, Quantity of cloth = meters = meters. Price of meters of cloth = Rs.
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Answer:
Tip
Mixed fraction:
mixed fraction is in the form of a b/c
Steps to convert mixed fraction into proper fraction:
1. Multiply whole number part by the fraction’s denominator.
2. Add that to the numerator.
3. Then write result on top of the denominator.
Explanation
For example:
Convert
3 2/5 to an improper fraction
3 x 5 = 15
15 + 2 = 17
17/5
Steps to convert improper fraction into mixed fraction:
Convert
11/4
1. Divide the numerator by the denominator. with a remainder of 3
11 ÷ 4 = 2
2. write the whole number answer
3. Then write down any remainder above denominator.
2 3/4 (mixed fraction)
a/b ÷ c/d = a/b x d/c
The final answer will be:
Improper fraction of
3 2/5 is 3 2/5
Find cost of one meter of cloth
Cost of one meter of cloth = Cost of 3 1/2 m of cloth ÷ 3 1/2
Put the values of cost of 3 1/2 m of cloth from equation (1) in above equation
We get,
Cost of one meter of cloth = 166 1/4 ÷ 3 1/2
Convert mixed fraction of equation (2) into improper fraction
Cost of one meter of cloth = 166 x 4 + 1 / 4 ÷ 3 x 2 + 1 / 4
Cost of one meter of cloth = 664 + 1 / 4 ÷ 6 + 1 /4
Cost of one meter of cloth = 665 / 4 ÷ 7 / 2
Cost of one meter of cloth = 665 / 4 x 2 / 7
Cost of one meter of cloth = 95 / 2
Convert improper fraction of equation (3) into mixed fraction
Cost of one meter of cloth = 47 1/2
Therefore, cost of one meter of cloth = Rs 47 1/2
Final Answer
Cost of one meter of cloth = Rs 47 1/2
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