Questions: Solve for (m). [ frac216=fracm40 ] (m=) (Type an integer or a simplified fraction.)

$Solve for (m). [ frac216=fracm40 ] (m=) (Type an integer or a simplified fraction.)$

Transcript text: Solve for $m$. \[ \frac{2}{16}=\frac{m}{40} \] $\mathrm{m}=$ $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

Step 1: Simplify the given equation

The given equation is: \[ \frac{2}{16} = \frac{m}{40} \] First, simplify the fraction $\frac{2}{16}$: \[ \frac{2}{16} = \frac{1}{8} \] So the equation becomes: \[ \frac{1}{8} = \frac{m}{40} \]

Step 2: Solve for $ m $

To solve for $ m $, cross-multiply: \[ 1 \cdot 40 = 8 \cdot m \] Simplify: \[ 40 = 8m \] Now, divide both sides by 8: \[ m = \frac{40}{8} = 5 \]

Final Answer

\[ \boxed{m = 5} \]

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