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rac{55}{66} W = rac{1010}{33}

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Full solution

Q. rac{55}{66} W = rac{1010}{33}
  1. Identify Equation: Identify the equation to solve for WW. The equation given is 56W=103\frac{5}{6} W = \frac{10}{3}.
  2. Isolate W: Isolate W by multiplying both sides of the equation by the reciprocal of 56\frac{5}{6}, which is 65\frac{6}{5}. \newline(65)⋅(56)W=(65)⋅(103)\left(\frac{6}{5}\right) \cdot \left(\frac{5}{6}\right) W = \left(\frac{6}{5}\right) \cdot \left(\frac{10}{3}\right)
  3. Simplify Equation: Simplify both sides of the equation.\newlineThe left side becomes WW because 65×56=1\frac{6}{5} \times \frac{5}{6} = 1.\newlineThe right side is simplified by multiplying the numerators and denominators: 6×105×3\frac{6 \times 10}{5 \times 3}.
  4. Calculate Right Side: Calculate the right side of the equation.\newline(6×10)/(5×3)=60/15(6 \times 10) / (5 \times 3) = 60 / 15.
  5. Simplify Fraction: Simplify the fraction on the right side of the equation. 6015=4\frac{60}{15} = 4.
  6. Write Value of W: Write down the value of WW.W=4W = 4.

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