Solve the following exercise:
43:45+21=?
To solve this problem, we'll follow these steps:
- Step 1: Calculate the division 43:45.
- Step 2: Use the formula ba:dc=ba×cd.
- Step 3: Simplify the division result.
- Step 4: Add 21 to the result of the division.
- Step 5: Simplify the addition result to get the final answer.
Now, let's work through each step:
Step 1: We need to calculate 43:45. Using the division of fractions formula, this becomes:
43×54=4×53×4=2012.
Step 2: Simplify 2012. Divide the numerator and the denominator by their greatest common divisor, which is 4:
20÷412÷4=53.
Step 3: Add 21 to the result 53:
The common denominator for addition is 10. Therefore:
53=5×23×2=106 and 21=2×51×5=105.
Add these two fractions:
106+105=106+5=1011.
Therefore, the solution to the problem is 1011.