Convert each of the following ratios into a percentage
(1) `14 : 25`
(2) `5 : 6`
(3) `111 : 125`
(4) `8 : 5`

Answer

To convert the given ratios into percentages, we will follow a step-by-step approach.

### Step-by-Step Solution:

**(1) Convert the ratio 14 : 25 into a percentage:**
1. Write the ratio as a fraction:
\[ \frac{14}{25} \]
2. To convert the fraction into a percentage, multiply by 100:
\[ \frac{14}{25} \times 100 \]
3. Simplify the multiplication:
\[ = \frac{14 \times 100}{25} = \frac{1400}{25} \]
4. Perform the division:
\[ 1400 \div 25 = 56 \]
5. Therefore, the percentage is:
\[ 56\% \]

**(2) Convert the ratio 5 : 6 into a percentage:**
1. Write the ratio as a fraction:
\[ \frac{5}{6} \]
2. Multiply by 100 to convert to percentage:
\[ \frac{5}{6} \times 100 \]
3. Simplify:
\[ = \frac{5 \times 100}{6} = \frac{500}{6} \]
4. Perform the division:
\[ 500 \div 6 = 83.33 \text{ (approximately)} \]
5. Therefore, the percentage is:
\[ 83.3\% \]

**(3) Convert the ratio 111 : 125 into a percentage:**
1. Write the ratio as a fraction:
\[ \frac{111}{125} \]
2. Multiply by 100:
\[ \frac{111}{125} \times 100 \]
3. Simplify:
\[ = \frac{111 \times 100}{125} = \frac{11100}{125} \]
4. Perform the division:
\[ 11100 \div 125 = 88.8 \]
5. Therefore, the percentage is:
\[ 88.8\% \]

**(4) Convert the ratio 8 : 5 into a percentage:**
1. Write the ratio as a fraction:
\[ \frac{8}{5} \]
2. Multiply by 100:
\[ \frac{8}{5} \times 100 \]
3. Simplify:
\[ = \frac{8 \times 100}{5} = \frac{800}{5} \]
4. Perform the division:
\[ 800 \div 5 = 160 \]
5. Therefore, the percentage is:
\[ 160\% \]

### Final Answers:
1. \( 14 : 25 = 56\% \)
2. \( 5 : 6 = 83.3\% \)
3. \( 111 : 125 = 88.8\% \)
4. \( 8 : 5 = 160\% \)