Answered: "The solution of the given proportion. Given: w2=4.56.8"

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

abreviatsjw

Answered question

2021-12-26

The solution of the given proportion.
Given:

\frac{w}{2} = \frac{4.5}{6.8}

Answer & Explanation

jgardner33v4

Beginner2021-12-27Added 35 answers

Calculation:
The given ratios can be simplified further by doing cross product:

\frac{w}{2} = \frac{4.5}{6.8}

w (6.8) = 2 (4.5)

6.8 w = 9

\frac{6.8 w}{6.8} = \frac{9}{6.8}

w = 1.32

Karen Robbins

Beginner2021-12-28Added 49 answers

Step 1
Given proportion:

\frac{w}{2} = \frac{4.5}{6.8}

The cross product is

w \times 6.8 = 2 \times 4.5

Solving for w

w = \frac{2 \times 4.5}{6.8}

and reducing

w = 1.3235294117647

karton

Expert2022-01-04Added 613 answers

Step 1
Given:
$\frac{w}{2} = \frac{4.5}{6.8}$
Multiply both sides of the equation by 2.
$w = 2 \times (\frac{4.5}{6.8})$
Expand $\frac{4.5}{6.8}$ by multiplying both numerator and the denominator by 10.
$w = 2 \times (\frac{45}{68})$
Express $2 \times (\frac{45}{68})$ as a single fraction
$w = \frac{2 \times 45}{68}$
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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