Respuesta :

3/5 ÷ 4/7
3/5 × 7/4 = 21/20

21/20 ÷ 9/10
21/20 × 10/9 = 210/180 = 7/6 =

1 1/6

When the fraction [tex]\frac{3}{5}[/tex] divided by [tex]\frac{4}{7}[/tex] divided by [tex]\frac{9}{10}[/tex] is [tex]1\frac{1}{6}[/tex]

Given that,

  • The fractions are [tex]\frac{3}{5}, \frac{4}{7}, and \frac{9}{10}[/tex]

First, we divide the first two fractions i.e.

[tex]= \frac{3}{5} \times \frac{7}{4} \\\\= \frac{21}{20}[/tex]

Now multiply the given fraction with the third one by reciprocal it.

[tex]= \frac{21}{20} \times \frac{10}{9} \\\\= \frac{210}{180} \\\\= \frac{7}{6}\\\\[/tex]

[tex]= 1\frac{1}{6}[/tex]

Therefore we can conclude that when the fraction [tex]\frac{3}{5}[/tex] divided by [tex]\frac{4}{7}[/tex] divided by [tex]\frac{9}{10}[/tex] is [tex]1\frac{1}{6}[/tex]

Learn more: brainly.com/question/6201432