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Is \(\frac{13}{15}\) less than \(\frac{9}{10}\)?

Answer :

Answer:

In summary, yes, 13/15 is less than 9/10.

Step-by-step explanation:

To determine whether 13/15 is less than 9/10, we can compare the two fractions by finding a common denominator and then comparing the numerators.

To find a common denominator, we can multiply the denominators together: 15 * 10 = 150.

Next, we need to convert both fractions to have the same denominator of 150. To do this, we can multiply the numerator and denominator of each fraction by the same value.

For the fraction 13/15, we can multiply both the numerator and denominator by 10: (13/15) * (10/10) = 130/150.

For the fraction 9/10, we can multiply both the numerator and denominator by 15: (9/10) * (15/15) = 135/150.

Now that both fractions have the same denominator of 150, we can compare the numerators.

Since 130 is less than 135, we can conclude that 13/15 is indeed less than 9/10.

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Rewritten by : Barada

Answer: Yes

Step-by-step explanation:

You can find a common denominator:

15x2=30

10x3=30

13x2 26

-------- = ------

15x2 30

9x3 27

------- = --------

10x3 30

26 27

----- < -----

30 30

You can cross-multiply.

For example,

13 9

----- ----- You would multiply 13 x 10 and 9x15

15 10

13x10 = 130

15x9 = 135

135 is greater 130, which means 9/10 is greater.