�ã7/�ã8 �~ �ã24/�ã49 =
�ã45 / �ã81 =
7�ã3 / �ã5 =
The lines between the numbers represent the numbers as being fractions.
To solve these fraction problems, you need to perform basic arithmetic operations with fractions. Here's how you can solve each of these problems step by step:
1. 7/8 ÷ 24/49:
To divide fractions, you need to multiply the numerator of the first fraction with the denominator of the second fraction, and then multiply the denominator of the first fraction with the numerator of the second fraction. So, the calculation would be:
(7/8) ÷ (24/49) = (7/8) × (49/24)
Multiply the numerators: 7 × 49 = 343
Multiply the denominators: 8 × 24 = 192
The final result is 343/192, which can be simplified by dividing both the numerator and denominator by their common factors. In this case, both numbers are divisible by 7:
Simplifying, we get: 343/192 ÷ 7/7 = 49/27
2. 45 ÷ 81:
In this case, you have whole numbers instead of fractions. To divide these numbers, simply divide the numerator (45) by the denominator (81):
45 ÷ 81 = 0.555555...
The decimal result is a repeating decimal, but if you want to represent it as a fraction, it would be 5/9.
3. 7/3 ÷ 5:
To divide a fraction by a whole number, you need to multiply the numerator of the fraction by the reciprocal of the whole number's denominator. So, the calculation would be:
(7/3) ÷ 5 = (7/3) × (1/5)
Multiply the numerators: 7 × 1 = 7
Multiply the denominators: 3 × 5 = 15
The final result is 7/15.
So, the answers to the given fraction division problems are:
1. 49/27
2. 5/9
3. 7/15