3 3/5divided by 1 5/12 multiplyby 10/27
3 3/5 ÷ 1 5/12 * 10/27
= 18/5 ÷ 17/12 * 10/27
= 18/5 * 12/17 * 10/27
= (18*12*10)/(5*17*27)
now, canceling common factors (3*3*3*5) top and bottom, you get
= (2*4*2)/(1*17*1)
= 16/17
(18/5) * (12/17) * (10/27)
(2)(4/17)(2)
16/17
To solve this problem, you can follow these steps:
1. Convert the mixed numbers to improper fractions:
3 3/5 = (3 * 5 + 3) / 5 = 18/5
1 5/12 = (1 * 12 + 5) / 12 = 17/12
2. Divide the first fraction by the second fraction:
18/5 ÷ 17/12 = 18/5 * 12/17 (the division operation becomes multiplication by the reciprocal of the second fraction)
3. Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator:
(18 * 12) / (5 * 17) = 216/85
4. Finally, multiply the result by 10/27:
(216/85) * (10/27) = (216 * 10) / (85 * 27) = 2160/2295
Therefore, 3 3/5 divided by 1 5/12 multiplied by 10/27 equals 2160/2295.