A rug has an area of 2/3 of a square meter and has a length of 5/6 of a meter. Determine the width of the rug
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To find the width of the rug, we can use the formula for the area of a rectangle, which is:
Area = Length x Width
Given that the area of the rug is 2/3 of a square meter and the length is 5/6 of a meter, we can substitute these values into the formula and solve for the width.
Area = Length x Width
2/3 = 5/6 x Width
Now, let's solve for the width.
Multiply both sides of the equation by the reciprocal (or multiplicative inverse) of 5/6, which is 6/5:
(2/3) x (6/5) = (5/6) x (6/5) x Width
12/15 = Width
Simplifying the fraction on the left side, we get:
4/5 = Width
Therefore, the width of the rug is 4/5 of a meter.
To determine the width of the rug, we can use the formula for the area of a rectangle: Area = Length × Width. We know that the area of the rug is 2/3 of a square meter and the length is 5/6 of a meter.
Let's represent the width of the rug as w.
Using the formula, we can set up the equation: (5/6) × w = 2/3
To find the value of w, we can solve this equation by isolating w.
First, let's simplify the equation by multiplying both sides by the reciprocal of (5/6), which is 6/5.
(6/5) × (5/6) × w = (6/5) × (2/3)
This simplifies to:
w = (6/15) × (2/3)
Now, we can multiply the numerators and denominators separately:
w = 12/45
To simplify this fraction, we can find the largest common factor of 12 and 45. In this case, the largest common factor is 3.
Dividing both the numerator and denominator by 3, we get:
w = 4/15
Therefore, the width of the rug is 4/15 of a meter.