10 5/12 divided by 1 3/5
To divide mixed numbers like 10 5/12 by 1 3/5, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
10 5/12 can be written as (12 * 10 + 5) / 12 = 125/12.
1 3/5 can be written as (5 * 1 + 3) / 5 = 8/5.
Step 2: Invert the divisor (the number you're dividing by).
The divisor is 8/5, so we invert it to get 5/8.
Step 3: Multiply the dividend (the number you're dividing) by the inverted divisor.
125/12 * 5/8 = (125 * 5) / (12 * 8) = 625 / 96.
Step 4: Simplify the resulting fraction, if possible.
In this case, the fraction 625/96 cannot be simplified further.
Therefore, the result of 10 5/12 divided by 1 3/5 is 625/96, or you can also express it as a mixed number: 6 49/96.