5/4÷1 1/12

1 answer

To divide fractions, you need to follow a few steps:

Step 1: Convert mixed numbers to improper fractions.

By converting 5/4 to an improper fraction, we multiply the whole number (5) by the denominator (4) and add the numerator (1) to get the new numerator. The denominator remains the same.

5/4 = (5 * 4 + 1)/4 = 21/4

By converting 1 1/12 to an improper fraction, we multiply the whole number (1) by the denominator (12) and add the numerator (1) to get the new numerator. The denominator remains the same.

1 1/12 = (1 * 12 + 1)/12 = 13/12

Step 2: Flip the second fraction and change the division operation to multiplication.

Now we have:

(21/4) ÷ (13/12)
= (21/4) * (12/13)

Step 3: Simplify the fractions if possible.

Let's simplify each fraction before multiplication:

(21/4) * (12/13)
= (21 * 3)/ (4 * 3) * (12/13)
= 63/12 * (12/13)
= (63 * 1)/ (4 * 1)
= 63/4

So, 5/4 ÷ 1 1/12 = 63/4.