Solve 3 1/2-M-1 - ScanMath

Question

Simplify the expression

\frac{5}{2} - M

Evaluate

3 \frac{1}{2} - M - 1

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 2 + 1}{2}

Multiply the terms

\frac{6 + 1}{2}

Add the terms

\frac{7}{2}

\frac{7}{2} - M - 1

Solution

More Steps

Evaluate

\frac{7}{2} - 1

Reduce fractions to a common denominator

\frac{7}{2} - \frac{2}{2}

Write all numerators above the common denominator

\frac{7 - 2}{2}

Subtract the numbers

\frac{5}{2}

\frac{5}{2} - M

Show Solution

Factor the expression

\frac{1}{2} (5 - 2 M)

Evaluate

3 \frac{1}{2} - M - 1

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 2 + 1}{2}

Multiply the terms

\frac{6 + 1}{2}

Add the terms

\frac{7}{2}

\frac{7}{2} - M - 1

Subtract the numbers

More Steps

Evaluate

\frac{7}{2} - 1

Reduce fractions to a common denominator

\frac{7}{2} - \frac{2}{2}

Write all numerators above the common denominator

\frac{7 - 2}{2}

Subtract the numbers

\frac{5}{2}

\frac{5}{2} - M

Solution

\frac{1}{2} (5 - 2 M)

Show Solution

Find the roots

M = \frac{5}{2}

Alternative Form

M = 2.5

Evaluate

3 \frac{1}{2} - M - 1

To find the roots of the expression,set the expression equal to 0

3 \frac{1}{2} - M - 1 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 2 + 1}{2}

Multiply the terms

\frac{6 + 1}{2}

Add the terms

\frac{7}{2}

\frac{7}{2} - M - 1 = 0

Subtract the numbers

More Steps

Simplify

\frac{7}{2} - M - 1

Subtract the numbers

More Steps

Evaluate

\frac{7}{2} - 1

Reduce fractions to a common denominator

\frac{7}{2} - \frac{2}{2}

Write all numerators above the common denominator

\frac{7 - 2}{2}

Subtract the numbers

\frac{5}{2}

\frac{5}{2} - M

\frac{5}{2} - M = 0

Move the constant to the right-hand side and change its sign

- M = 0 - \frac{5}{2}

Removing 0 doesn't change the value,so remove it from the expression

- M = - \frac{5}{2}

Solution

M = \frac{5}{2}

Alternative Form

M = 2.5

Show Solution