KemonieQ391537 KemonieQ391537
  • 03-11-2022
  • Mathematics
contestada

Rewrite 9/11 and 6/7 so that they have a common denominator.Then use <, =, or > to order 9/11 and 6/7

Rewrite 911 and 67 so that they have a common denominatorThen use lt or gt to order 911 and 67 class=

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AbijahE499496 AbijahE499496
  • 03-11-2022

Answer:

• 9/11=63/77

,

• 6/7=66/77

,

• 9/11<6/7

Explanation:

Given the fractions: 9/11 and 6/7

First determine the lowest common multiple of the denominators: 11 and 7

L.C.M of 11 and 7 = 77

Next, make this the common denominator as follows:

[tex]\begin{gathered} \frac{9}{11}=\frac{9}{11}\times\frac{7}{7}=\frac{63}{77} \\ \frac{6}{7}=\frac{6}{7}\times\frac{11}{11}=\frac{66}{77} \end{gathered}[/tex]

Comparing the numerators, since 63<66:

[tex]\implies\frac{9}{11}<\frac{6}{7}[/tex]

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