# Use an example to describe the multiplicative relationship between two equivalent ratios

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dari knisakainudarunina

## Jawapan

• sisha
• Bercita-cita tinggi
2015-12-16T16:09:42+08:00

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A ratio is a relationship between two numbers (usually involving some kind of measurement). For example, when people drive, they travel at a certain speed. We usually refer to that speed as miles per hour. That's a ratio because it's a relationship between distance and time. So if I'm driving 60 mph, that means that for each hour I drive, I'm traveling 60 miles. There are all kinds of ratios. On a map, there's usually a map scale that might indicate, for instance, that 1 inch = 100 miles. Each inch on the map represents 100 miles in the real world. This is another relationship between two numbers, which makes it another ratio. Ratios are often written in one of two ways. Let's use our map scale. One way of writing out that ratio is: 1:100 We could also write the ratio as a fraction: 1/100 Changing But Staying the SameSo if I'm driving 60 mph (60:1 or 60/1), then in 2 hours, I'll have driven 120 miles. If we wrote out that ratio, it would be 120:2 or 120/2. 60/1 and 120/2 look different. They definitely include different numbers. But they're really the same ratio written different ways. In fact, they're called equivalent ratios, which are ratios that express the same relationship between two numbers. The ratios 60/1 and 120/2 are equivalent because the relationship between the two parts of the ratios didn't change. According to the ratio 60/1, I travel 60 miles for every hour I drive. That relationship between the two numbers stays the same when we write 120/2. I'm still driving 60 miles for every hour I drive. But since I've driven 2 hours now, I've traveled 120 miles. So even though the numbers in 120/2 are different, they still describe the same relationship between distance and time that 60/1 does. In the same way, 180/3 is also equivalent to 60/1, because I'm still traveling 60 miles every hour. The only difference is that I've driven for 3 hours now, so I've traveled a total of 180 miles. Equivalent FractionsThere's also another connection between 60/1 and 180/3. Look at the first number in both ratios, which is also the numerator (or top number) in the fractions we've written. To get from 1 to 3, we multiply by 3. We do the same thing with the denominator (or bottom number) in both fractions: we multiply by 3 again. So when you multiply both parts of a ratio by the same number, you make an equivalent ratio. All we're really doing is making equivalent fractions, which are two different fractions that are equal. We could, in fact, multiply the numerator and denominator by any number and get an equivalent fraction. If we wanted to, we could even multiply our ratio by fifty over fifty:

2015-12-18T16:49:33+08:00

### Ini Jawapan Diperakui

Jawapan diperakui mengandungi maklumat yang boleh dipercayai dan diharapkan yang dijamin dipilih dengan teliti oleh sepasukan pakar. Brainly mempunyai berjuta-juta jawapan berkualiti tinggi, semuanya disederhanakan dengan teliti oleh ahli komuniti kami yang paling dipercayai, tetapi jawapan diperakui adalah terbaik di kalangan terbaik.
So if I'm driving 60 mph, that means that for each hour I drive, I'm traveling 60 miles.There are all kinds of ratios. On a map, there's usually a map scale that might indicate, for instance, that 1 inch = 100 miles. Each inch on the map represents 100 miles in the real world. This is another relationship between two numbers, which makes it another ratio.Ratios are often written in one of two ways. Let's use our map scale. One way of writing out that ratio is:1:100.
We could also write the ratio as a fraction:1/100