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DerKrebs [107]
3 years ago
6

M+1 3/8=5 What does m equal?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}

<em><u>Solution:</u></em>

Given that we have to find the value of "m"

Given expression is:

m + 1\frac{3}{8} = 5

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Steps to follow:

Divide the numerator by the denominator.

Write down the whole number answer.

Then write down any remainder above the denominator.

Therefore,

1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}

Now the expression becomes,

m + \frac{11}{8} = 5

Keep the variable "m" on L.H.S and move the constant to R.H.S

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}

Thus value of m is equal to 3.625 or \frac{29}{8} \text{ or } 3\frac{5}{8}

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