r [3] 1(3)/(6)div 5(2)/(5)times (1)/(2)times 8

Question

Answer 1

To solve the expression

, we first need to simplify the mixed numbers and then perform the operations step by step.Step 1: Simplify the mixed numbers.

can be simplified to

since

is equivalent to

.

is already in its simplest form.Step 2: Perform the division.Divide

by

.To divide mixed numbers, we convert them to improper fractions.

is equivalent to

.

is equivalent to

.Now, divide

by

.To divide fractions, we multiply by the reciprocal of the second fraction.

.Step 3: Perform the multiplication.Multiply

by

.

.Step 4: Simplify the fraction.Simplify

by dividing both the numerator and denominator by their greatest common divisor, which is 3.

.Step 5: Perform the remaining operations.Multiply

by

.

.Finally, multiply

by 8.

.Step 6: Simplify the final fraction.Simplify

by dividing both the numerator and denominator by their greatest common divisor, which is 4.

.Therefore, the final answer is

or approximately 1.11.

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