To calculate the ratio 23.6:7.8, you can simplify it by dividing both sides by the same number.
- First, simplify the ratio by dividing both numbers by 7.8:
\[ \frac{23.6}{7.8} \approx 3.023 \]
This gives you:
\[ 3.023 : 1 \]
- To express the ratio in whole numbers, you can multiply both parts by a common factor to eliminate the decimal. In this case, it's easier to multiply both numbers by 10:
\[ 23.6 \times 10 : 7.8 \times 10 = 236 : 78 \]
- Finally, simplify the ratio 236:78 by finding the greatest common divisor (GCD). Both numbers can be divided by 78:
\[ \text{GCD of } 236 \text{ and } 78 \text{ is 78, so: } \]
\[ \frac{236 \div 78}{78 \div 78} = \frac{3.023}{1} \approx 3:1 \]
So, the simplified ratio of 23.6:7.8 is approximately 3:1.