Question

determine whether the proportions on the left are true or false, and match them with the correct response on the right
\\(\frac{2}{3} = \frac{30}{45}\\)
true
\\(\frac{1}{5} = \frac{4}{25}\\)
false
\\(\frac{7}{12} = \frac{35}{60}\\)
\\(\frac{3}{4} = \frac{36}{44}\\)
click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over target before releasing. the target will highlight or the cursor will change. need help? watch a video

Explanation:

Step1: Cross-multiply first proportion

$2 \times 45 = 90$, $3 \times 30 = 90$

Step2: Cross-multiply second proportion

$1 \times 25 = 25$, $5 \times 4 = 20$

Step3: Cross-multiply third proportion

$7 \times 60 = 420$, $12 \times 35 = 420$

Step4: Cross-multiply fourth proportion

$3 \times 44 = 132$, $4 \times 36 = 144$

Step5: Compare products for truth value

Equal products = True; Unequal = False

Answer:

• $\frac{2}{3} = \frac{30}{45}$: True
• $\frac{1}{5} = \frac{4}{25}$: False
• $\frac{7}{12} = \frac{35}{60}$: True
• $\frac{3}{4} = \frac{36}{44}$: False