48:55
Understanding Ratios
A ratio represents a comparison between two quantities. For instance, a ratio written as 'a:b' can also be thought of as the fraction $\frac{a}{b}$. To find the greatest ratio among a list of options, we need to compare their values.
Comparing the Ratios
The easiest way to compare these ratios is to convert each one into a decimal by dividing the first number by the second number. Let's convert each given ratio:
- Ratio 1: 30:53
- Ratio 2: 48:55
- Ratio 3: 22:51
- Ratio 4: 40:90
Calculations for Each Ratio:
We will calculate the decimal value for each ratio:
| Ratio | Fraction Form | Decimal Calculation | Approximate Decimal Value |
|---|---|---|---|
| 30:53 | $\frac{30}{53}$ | $30 \div 53$ | 0.566 |
| 48:55 | $\frac{48}{55}$ | $48 \div 55$ | 0.873 |
| 22:51 | $\frac{22}{51}$ | $22 \div 51$ | 0.431 |
| 40:90 | $\frac{40}{90}$ | $40 \div 90$ | 0.444 |
Identifying the Greatest Ratio
Now, we compare the decimal values we calculated:
- Ratio 1: 0.566
- Ratio 2: 0.873
- Ratio 3: 0.431
- Ratio 4: 0.444
Comparing these decimal numbers, we can see that 0.873 is the largest value.
Therefore, the ratio 48:55 is the greatest among the given options.
Important Questions from Simple Ratios
If x : y = 5 : 2, then the value of (8x + 9y) : (8x + 2y) is:
If the value of \(\frac{{p - q}}{q} = \frac{4}{3}\) .find p : q
Two numbers are in the ratio of 9 : 7. If the larger number is 56 more than one-seventh of the smaller, then what is the sum of the two numbers?
The ratio of two numbers A and B is 5: 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference between A and B is:
In population of a city the ratio of men and women is 12 : 11. If total population of that city is 4,60,000, then the population of women is:
