Ratios- Please help

The ratio of 5 3/5 to 2 1/10

The ratio of 7 dimes to 3 quarters

Marc took 3 hours(h)to mow a lawn while Angelina took 150 minutes (min) to mow the same lawn a week earlier. Write the ratio of Marc's time to Angelina's time as a ratio of whole numbers.

The ratio of 7 dimes to 3 quarters= 70 and 75 common factor of 5. So I can divide both numbers by 5 to get a ratio that means exactly the same thing as 70 to 75. This ratio will be 14 to 15

5 3/5 divided by 2 1/10 =

28/5 / 21/10 = 28/5 * 10/21 = 280/105 = 2 2/3 to 1

If you post your answers to the other two questions, we'll be glad to check them.

Can you show me how you did this problem please.

can you explain how yo gert 2 2/3 to 1 from 280/105?

To calculate ratios, you need to follow these steps:

1. Write down the two quantities you want to compare.
2. Convert any mixed numbers or fractions into improper fractions.
3. Cross-multiply the ratios.
4. Simplify the fraction if possible.

Let's apply these steps to solve the given questions:

1. The ratio of 5 3/5 to 2 1/10:
To convert the mixed numbers into improper fractions:
5 3/5 = (5 * 5 + 3)/5 = 28/5
2 1/10 = (2 * 10 + 1)/10 = 21/10

Now, we have the ratio as (28/5) : (21/10).

To simplify the ratio, we can multiply both numerator and denominator of the second fraction by 2:
(28/5) : (21/10) = (28/5) : (42/10)

Now, cross-multiply:
(28 * 10) : (42 * 5) = 280 : 210 = 4 : 3

So, the ratio of 5 3/5 to 2 1/10 is 4 : 3.

2. The ratio of 7 dimes to 3 quarters:
Dimes and quarters are both units of currency, so the ratio is simply 7 : 3.

3. Marc took 3 hours to mow a lawn while Angelina took 150 minutes (min):
To compare the time, we need to express both in the same unit, either hours or minutes. Let's convert Marc's time to minutes:

3 hours = 3 * 60 = 180 minutes.

Now, the ratio is 180 min : 150 min.

To simplify this ratio, we divide both terms by their greatest common divisor, which is 30 in this case:
180/30 : 150/30 = 6 : 5.

So, the ratio of Marc's time to Angelina's time is 6 : 5.