Respuesta :

Answer:

7/8 ths

Step-by-step explanation:

3 divided by 4 is .75

* 7 divided by 8 is .875

8 divided by 10 is .80

7 divided by 9 is .77

If you divide the fractions you can compare the values and the highest value is your largest fraction.

The fraction with largest value of numerator is largest fraction in the two or more fraction number with same denominator. The fraction 7/9 has the largest fraction.

Given information-

The set of the fraction given in the problem is,

[tex]\dfrac{3}{4}, \dfrac{7}{8}, \dfrac{8}{10}, \dfrac{7}{9}[/tex]

What is the order of fraction?

The order of the fraction is arranging the fraction number from the smallest to the largest number.

The fraction with largest value of numerator is largest fraction in the two or more fraction number with same denominator.

To compare the fraction, make the denominator with same.

[tex]\dfrac{3}{4}, \dfrac{7}{8}, \dfrac{8}{10}, \dfrac{7}{9}[/tex]

To make the denominator same find out the least common factor of denominators which are 4,8,10 and 9 which is 360.

Multiply and divide with 360 in the given fractions to bring the 360 in denominator,

[tex]\dfrac{3\times360}{4\times360}, \dfrac{7\times360}{8\times360}, \dfrac{8\times360}{10\times360}, \dfrac{7\times360}{9\times360}[/tex]

[tex]\dfrac{270}{360}, \dfrac{315}{360}, \dfrac{288}{360}, \dfrac{315}{360}[/tex]

As the numerator 315 is the highest among all. Hence the fraction 7/9 has the largest fraction.

Learn more about the largest fraction here;

https://brainly.com/question/14086382