What is the result of 5 1/4 minus 3 4/5?

To calculate the result of 5 1/4 minus 3 4/5, it is useful to first convert the mixed numbers into improper fractions, making the subtraction straightforward.

5 1/4 can be converted as follows:

1. Multiply the whole number (5) by the denominator (4), giving 20.

2. Add the numerator (1) to this result, yielding 21.

3. Thus, 5 1/4 converts to 21/4.

Next, we convert 3 4/5:

1. Multiply the whole number (3) by the denominator (5), giving 15.

2. Add the numerator (4), resulting in 19.

3. Therefore, 3 4/5 converts to 19/5.

Now, to perform the subtraction (21/4 - 19/5), we must find a common denominator, which in this case is 20. We adjust both fractions accordingly:

• For 21/4, multiply both the numerator and denominator by 5, giving us 105/20.

• For 19/5, multiply both the numerator and denominator by 4, resulting in 76/20.

Now, subtract the two