8/10 Divided by 1 5/6 as a Fraction
This problem involves dividing fractions. Here's how to solve it step-by-step:
1. Convert mixed numbers to improper fractions:
- 1 5/6: Multiply the whole number (1) by the denominator (6) and add the numerator (5), keeping the same denominator. This gives us (1 * 6) + 5 = 11/6.
2. Invert the divisor (the second fraction):
- The reciprocal of 11/6 is 6/11.
3. Change division to multiplication:
- Dividing by a fraction is the same as multiplying by its reciprocal.
4. Multiply the fractions:
- (8/10) * (6/11) = (8 * 6) / (10 * 11) = 48/110
5. Simplify the fraction (if possible):
- Both 48 and 110 are divisible by 2, so we can simplify: 48/110 = 24/55
Therefore, 8/10 divided by 1 5/6 is equal to 24/55.
