Complete the following exercise:
98:32=?
To solve the fraction division 98÷32, follow these steps:
- Step 1: Identify the given fractions 98 and 32.
- Step 2: Find the reciprocal of the second fraction. The reciprocal of 32 is 23.
- Step 3: Multiply the first fraction by the reciprocal of the second fraction: 98×23.
- Step 4: Perform the multiplication: multiply the numerators together and the denominators together.
Let's compute the multiplication:
98×23=9×28×3=1824
Step 5: Simplify the resulting fraction 1824.
To simplify, find the greatest common divisor (GCD) of 24 and 18, which is 6. Divide both the numerator and the denominator by 6:
1824=18÷624÷6=34
Step 6: If necessary, convert the improper fraction to a mixed number.
Since 34 is an improper fraction, it can be converted to a mixed number:
34=131
Therefore, the solution to the problem 98:32 is 131.