Pregunta
S. 6 Write an equivalent ratio. PA Find the number that makes the ratio equivalent to \( 96: 48 \). \( \square \) : 4 Submit
Ask by Williams Mills. in the United States
Feb 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The number that makes the ratio equivalent to 96:48 is 8, so the equivalent ratio is 8:4.
Solución
We start by simplifying the ratio 96:48. Dividing both parts by 48 gives:
96 ÷ 48 = 2
48 ÷ 48 = 1
So, the simplified ratio is 2:1.
Now, we need to find the number (let's call it x) that makes the ratio x:4 equivalent to 2:1. Set up the proportion:
x/4 = 2/1
Multiply both sides by 4 to solve for x:
x = 2 × 4 = 8
Therefore, the number that makes the ratio equivalent to 96:48 is 8, and the equivalent ratio is 8:4.
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Como
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Beyond the Answer
To find a number that makes the ratio equivalent to \( 96: 48 \), we can simplify \( 96: 48 \) first. Dividing both sides by 48, we get \( 2:1 \). Now, to keep this ratio equivalent, we can set it up with 4. Since the second part of the ratio is 4, we need to find the first part. By multiplying both parts of the simplified ratio \( 2:1 \) by 4, we get \( 8:4 \). Thus, the number you’re looking for is \( 8 \). Now you have \( 8:4 \) which is equivalent to \( 96:48 \). Keep practicing those ratios, and you'll be a pro in no time!
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