Basic Math Examples

Solve for m -2 1/4*m-989/120=-17/6*(m+13/5)
Step 1
Simplify the left side.
Tap for more steps...
Step 1.1
Simplify .
Tap for more steps...
Step 1.1.1
Convert to an improper fraction.
Tap for more steps...
Step 1.1.1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.1.1.2
Add and .
Tap for more steps...
Step 1.1.1.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.1.1.2.2
Combine and .
Step 1.1.1.2.3
Combine the numerators over the common denominator.
Step 1.1.1.2.4
Simplify the numerator.
Tap for more steps...
Step 1.1.1.2.4.1
Multiply by .
Step 1.1.1.2.4.2
Add and .
Step 1.1.2
Simplify each term.
Tap for more steps...
Step 1.1.2.1
Combine and .
Step 1.1.2.2
Move to the left of .
Step 2
Simplify the right side.
Tap for more steps...
Step 2.1
Simplify .
Tap for more steps...
Step 2.1.1
Apply the distributive property.
Step 2.1.2
Combine and .
Step 2.1.3
Multiply .
Tap for more steps...
Step 2.1.3.1
Multiply by .
Step 2.1.3.2
Multiply by .
Step 2.1.3.3
Multiply by .
Step 2.1.4
Move to the left of .
Step 3
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 3.1
Add to both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
To write as a fraction with a common denominator, multiply by .
Step 3.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 3.4.1
Multiply by .
Step 3.4.2
Multiply by .
Step 3.4.3
Multiply by .
Step 3.4.4
Multiply by .
Step 3.5
Combine the numerators over the common denominator.
Step 3.6
Simplify each term.
Tap for more steps...
Step 3.6.1
Simplify the numerator.
Tap for more steps...
Step 3.6.1.1
Factor out of .
Tap for more steps...
Step 3.6.1.1.1
Factor out of .
Step 3.6.1.1.2
Factor out of .
Step 3.6.1.1.3
Factor out of .
Step 3.6.1.2
Multiply by .
Step 3.6.1.3
Multiply by .
Step 3.6.1.4
Add and .
Step 3.6.2
Move to the left of .
Step 4
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 4.1
Add to both sides of the equation.
Step 4.2
To write as a fraction with a common denominator, multiply by .
Step 4.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 4.3.1
Multiply by .
Step 4.3.2
Multiply by .
Step 4.4
Combine the numerators over the common denominator.
Step 4.5
Simplify the numerator.
Tap for more steps...
Step 4.5.1
Multiply by .
Step 4.5.2
Add and .
Step 4.6
Cancel the common factor of and .
Tap for more steps...
Step 4.6.1
Factor out of .
Step 4.6.2
Cancel the common factors.
Tap for more steps...
Step 4.6.2.1
Factor out of .
Step 4.6.2.2
Cancel the common factor.
Step 4.6.2.3
Rewrite the expression.
Step 5
Multiply both sides of the equation by .
Step 6
Simplify both sides of the equation.
Tap for more steps...
Step 6.1
Simplify the left side.
Tap for more steps...
Step 6.1.1
Simplify .
Tap for more steps...
Step 6.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 6.1.1.1.1
Cancel the common factor.
Step 6.1.1.1.2
Rewrite the expression.
Step 6.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 6.1.1.2.1
Factor out of .
Step 6.1.1.2.2
Cancel the common factor.
Step 6.1.1.2.3
Rewrite the expression.
Step 6.2
Simplify the right side.
Tap for more steps...
Step 6.2.1
Simplify .
Tap for more steps...
Step 6.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 6.2.1.1.1
Factor out of .
Step 6.2.1.1.2
Factor out of .
Step 6.2.1.1.3
Cancel the common factor.
Step 6.2.1.1.4
Rewrite the expression.
Step 6.2.1.2
Cancel the common factor of .
Tap for more steps...
Step 6.2.1.2.1
Cancel the common factor.
Step 6.2.1.2.2
Rewrite the expression.
Step 6.2.1.3
Combine and .
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: