Final answer:
To calculate 5/8 of 2/3 of 3/10 of 27, we multiply the fractions together and then by the whole number, resulting in a final answer of 27/8 as a common fraction.
Step-by-step explanation:
The question asks us to calculate 5/8 of 2/3 of 3/10 of 27. To find this, we will perform fraction multiplication and then multiply by the whole number.
Let's start by multiplying the fractions:
- Multiply 3/10 by 27 to find 3/10 of 27: (3/10) * 27 = 81/10 or 8.1
- Next, multiply this result by 2/3 to find 2/3 of 81/10: (2/3) * (81/10) = 162/30, which simplifies to 54/10 or 5.4
- Finally, multiply this result by 5/8 to find 5/8 of 54/10: (5/8) * (54/10) = 270/80, which simplifies to 27/8 or 3.375
Therefore, 5/8 of 2/3 of 3/10 of 27 equals 27/8 when expressed as a common fraction.