abreviatsjw

2021-12-26

The solution of the given proportion.
Given:
$\frac{w}{2}=\frac{4.5}{6.8}$

jgardner33v4

Expert

Calculation:
The given ratios can be simplified further by doing cross product:
$\frac{w}{2}=\frac{4.5}{6.8}$
$w\left(6.8\right)=2\left(4.5\right)$
$6.8w=9$
$\frac{6.8w}{6.8}=\frac{9}{6.8}$
$w=1.32$

Karen Robbins

Expert

Step 1
Given proportion: $\frac{w}{2}=\frac{4.5}{6.8}$
The cross product is
$w×6.8=2×4.5$
Solving for w
$w=\frac{2×4.5}{6.8}$
and reducing
$w=1.3235294117647$

karton

Expert

Step 1
Given:
$\frac{w}{2}=\frac{4.5}{6.8}$
Multiply both sides of the equation by 2.
$w=2×\left(\frac{4.5}{6.8}\right)$
Expand $\frac{4.5}{6.8}$ by multiplying both numerator and the denominator by 10.
$w=2×\left(\frac{45}{68}\right)$
Express $2×\left(\frac{45}{68}\right)$ as a single fraction
$w=\frac{2×45}{68}$
Multiply 2 and 45 to get 90.
$w=\frac{90}{68}$
Reduce the fraction $\frac{90}{68}$ to lowest terms by extracting and canceling out 2.
$w=\frac{45}{34}=1\frac{11}{34}\approx 1.32$

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