Respuesta :

Solution:

To solve a mixed fraction multiplication problem, you must:

  1. Convert the fractions into improper fractions. (If the fractions are proper, you can skip this step.)
  2. Simplify the fractions If possible. (If it is not possible, you can skip this step.)
  3. Multiply the fractions (numerator with numerator and denominator with denominator).

After reviewing how to multiply an improper fraction, let's solve the multiplication problem.

  • 1 1/6 x 6/11
  • => (6 + 1)/6 x 6/11 [According to step 1]
  • => 7/6 x 6/11
  • => 7/1 x 1/11 [According to step 2]
  • => 7 x 1/11 x 1 [According to step 3]

The solution to the multiplication problem is 7/11.

[tex] \bf \nrightarrow \: 1 \frac{1}{6} \times 6 \frac{6}{11} [/tex]

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

[tex] \sf \underbrace{1 \frac{1}{6} = \frac{7}{6} }[/tex]

Now, Multiply the fractions

[tex] \bf \: \frac{7}{6} \times \frac{6}{11} [/tex]

Multiply the numerators and denominators

[tex] \bf \nrightarrow \: \frac{7 \times \cancel 6}{ \cancel6 \times 11} [/tex]

[tex] \boxed{ \sf \: ans \multimap \: \frac{7}{11} }[/tex]

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