Solve for w in the equation 1 3/4 = w + 2/5.
Check the final answer first, then review the worked steps.
Problem
Solve for w in the equation 1 3/4 = w + 2/5.
Step-by-step solution
To solve for w, subtract 2/5 from both sides of the equation. Convert fractions to a common denominator (20): $1 \frac{3}{4} = \frac{7}{4} = \frac{35}{20}$ and $\frac{2}{5} = \frac{8}{20}$. Then, $w = \frac{35}{20} - \frac{8}{20} = \frac{27}{20}$.
Answer
\frac{27}{20}