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\( z=6 \)
Solución
Solve the equation \( \frac{z}{32}+\frac{5}{8}=\frac{13}{16} \).
Solve the equation by following steps:
- step0: Solve for \(z\):
\(\frac{z}{32}+\frac{5}{8}=\frac{13}{16}\)
- step1: Move the constant to the right side:
\(\frac{z}{32}=\frac{13}{16}-\frac{5}{8}\)
- step2: Subtract the numbers:
\(\frac{z}{32}=\frac{3}{16}\)
- step3: Multiply both sides of the equation by \(32:\)
\(\frac{z}{32}\times 32=\frac{3}{16}\times 32\)
- step4: Multiply the terms:
\(z=\frac{3\times 32}{16}\)
- step5: Divide the terms:
\(z=6\)
A solução da equação \( \frac{z}{32}+\frac{5}{8}=\frac{13}{16} \) é \( z=6 \).
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Extra Insights
To solve the equation \( \frac{z}{32}+\frac{5}{8}=\frac{13}{16} \), first, let's isolate \( z \). Step 1: Subtract \( \frac{5}{8} \) from both sides: \[ \frac{z}{32} = \frac{13}{16} - \frac{5}{8} \] Step 2: To perform the subtraction, we need a common denominator. The least common multiple of 16 and 8 is 16: \[ \frac{5}{8} = \frac{10}{16} \] Now substitute this back into the equation: \[ \frac{z}{32} = \frac{13}{16} - \frac{10}{16} = \frac{3}{16} \] Step 3: Now, multiply both sides by 32 to solve for \( z \): \[ z = 32 \cdot \frac{3}{16} \] Step 4: Simplify: \[ z = 2 \cdot 3 = 6 \] Therefore, the solution is: \[ \boxed{6} \]
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