Question

Multiply: 1 1/6 x 6/11 =

Answer 1

To multiply 1 1/6 by 6/11, convert the mixed number to an improper fraction. Then, multiply the fractions and simplify the result.

Step-by-step explanation:

To multiply 1 1/6 by 6/11, we can convert the mixed number to an improper fraction:

1 1/6 = (6 * 1 + 1)/6 = 7/6

Now we can multiply the fractions:

7/6 * 6/11 = (7 * 6)/(6 * 11) = 42/66

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor:

42/66 = (2 * 3 * 7)/(2 * 3 * 11) = 1/11

Answer 2

`\bf \\rightarrow \: 1 (1)/(6) * 6 (6)/(11)`

Convert the mixed fraction to improper fraction by Multiplying the denominator with the integer and adding the numerator to the product of denominator and integer

`\sf \underbrace{1 (1)/(6) = (7)/(6) }`

Now, Multiply the fractions

`\bf \: (7)/(6) * (6)/(11)`

Multiply the numerators and denominators

`\bf \\rightarrow \: (7 * \cancel 6)/( \cancel6 * 11)`

`\boxed{ \sf \: ans \multimap \: (7)/(11) }`