Katya is making a rectangular table that is (3)/(4)m wide. The table has an area of 1(1)/(5)m^(2) How long is the table? m

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Katya is making a rectangular table that is  (3)/(4)m wide. The table has an area of  1(1)/(5)m^(2) How long is the table? m

Bytelearn · Accepted Answer

Calculate Area: To find the length of the table, we need to divide the area of the table by its width. Area of the table = 1(1)/(5)m^2, which can be converted to an improper fraction: (5*1 + 1)/5 = 6/5 m^2. Width of the table = (3)/(4)m. Length of the table = Area / Width.Convert to Improper Fraction: First, let's convert the mixed number for the area into an improper fraction. 1(1)/(5) = (5*1 + 1)/5 = 6/5 m^2. Now we have the area as an improper fraction, which is easier to work with.Perform Division: Next, we perform the division to find the length. Length = Area / Width = (6/5)m^2 / (3/4)m. To divide by a fraction, we multiply by its reciprocal. Length = (6/5)m^2 * (4/3)m^-1.Multiply Numerators and Denominators: Now, we multiply the numerators and the denominators. Length = (6*4)/(5*3) m. Length = 24/15 m.Simplify Fraction: We simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. Length = (24/3)/(15/3) m. Length = 8/5 m.Convert Back to Mixed Number: Convert the improper fraction back to a mixed number if necessary. However, in this case, the fraction 8/5 is a simple form and can be left as is.

Katya is making a rectangular table that is $\frac{3}{4} \mathrm{~m}$ wide. The table has an area of $1 \frac{1}{5} \mathrm{~m}^{2}$ $\newline$ How long is the table? $\newline$ $\mathrm{m}$

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Katya is making a rectangular table that is $\frac{3}{4} \mathrm{~m}$ wide. The table has an area of $1 \frac{1}{5} \mathrm{~m}^{2}$ $\newline$ How long is the table? $\newline$ $\mathrm{m}$