Respuesta :
[tex]\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}[/tex]
Solution:
Given that we have to find the value of "m"
Given expression is:
[tex]m + 1\frac{3}{8} = 5[/tex]
Let us first convert the mixed fraction to improper fraction
Steps to follow:
Divide the numerator by the denominator.
Write down the whole number answer.
Then write down any remainder above the denominator.
Therefore,
[tex]1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}[/tex]
Now the expression becomes,
[tex]m + \frac{11}{8} = 5[/tex]
Keep the variable "m" on L.H.S and move the constant to R.H.S
[tex]m = 5 - \frac{11}{8}\\\\m = \frac{5 \times 8 -11}{8}\\\\m = \frac{40-11}{8}\\\\m = \frac{29}{8}\\\\\text{In mixed fractions, we can write as }\\\\m = \frac{29}{8} = 3\frac{5}{8}[/tex]
Thus value of m is equal to 3.625 or [tex]\frac{29}{8} \text{ or } 3\frac{5}{8}[/tex]
