Respuesta :

Divide 1 7/8 by 5/16:

15
---
  8

====
  5
----
 16

Invert the 5/16 and then multiply:

15     16           3*2
---- * ----   =    -------  =  6 (answer)
  8      5

There are total 6 numbers of 5/16 in the given number [tex]1\dfrac{7}{8}[/tex] and this can be determine by using the arithmetic operations.

Given :

Number -  [tex]1\dfrac{7}{8}[/tex]

To determine the total number of 5/16 in the given number, following steps can be use:

Step 1 - Simplify the given number.

[tex]1\dfrac{7}{8}= \dfrac{15}{8}[/tex]

Step 2 - Now, multiply numerator and denominator by 2.

[tex]=\dfrac{15\times 2}{8\times 2}[/tex]

Step 3 - Further simplify the above expression.

[tex]=\dfrac{30}{16}[/tex]

Step 4 - Now, rewrite 30 as [tex]6\times 5[/tex].

[tex]=\dfrac{6\times 5}{16}[/tex]

From the above steps it can be concluded that there are 6 numbers of 5/16 in the given number [tex]1\dfrac{7}{8}[/tex].

For more information, refer the link given below:

https://brainly.com/question/2273245