Question

5/9 x 1 7/11 în its simplest form

Answer 1

let's firstly convert the mixed fraction to an improper fraction.

`\stackrel{mixed}{1(7)/(11)}\implies \cfrac{1\cdot 11+7}{11}\implies \stackrel{improper}{\cfrac{18}{11}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{9}* \cfrac{18}{11}\implies \cfrac{5}{11}* \cfrac{18}{9}\implies \cfrac{5}{11}* 2\implies \cfrac{10}{11}`

Answer 2

To simplify the expression 5/9 x 1 7/11, convert the mixed number to an improper fraction, multiply the fractions, and simplify the result.

Step-by-step explanation:

To simplify the expression 5/9 x 1 7/11, we can first convert the mixed number 1 7/11 into an improper fraction. To do this, multiply the whole number (1) by the denominator (11) and add the numerator (7). In this case, 1 x 11 + 7 = 18. So, the mixed number 1 7/11 is equal to the improper fraction 18/11.

Next, we can multiply the fractions 5/9 and 18/11. Multiply the numerators together (5 x 18) to get 90, and multiply the denominators together (9 x 11) to get 99. So, the product of 5/9 and 1 7/11 is 90/99.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 90 and 99 is 9. Dividing both by 9, we get 10/11.