Basic Math Examples

Solve for m 9/10-4/5m=m/10-1/3
Step 1
Simplify each term.
Tap for more steps...
Step 1.1
Combine and .
Step 1.2
Move to the left of .
Step 2
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 2.1
Subtract from both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Combine the numerators over the common denominator.
Step 2.6
Multiply by .
Step 2.7
Subtract from .
Step 2.8
Factor out of .
Tap for more steps...
Step 2.8.1
Factor out of .
Step 2.8.2
Factor out of .
Step 2.8.3
Factor out of .
Step 3
Multiply both sides by .
Step 4
Simplify.
Tap for more steps...
Step 4.1
Simplify the left side.
Tap for more steps...
Step 4.1.1
Simplify .
Tap for more steps...
Step 4.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 4.1.1.1.1
Cancel the common factor.
Step 4.1.1.1.2
Rewrite the expression.
Step 4.1.1.2
Apply the distributive property.
Step 4.1.1.3
Simplify the expression.
Tap for more steps...
Step 4.1.1.3.1
Multiply by .
Step 4.1.1.3.2
Multiply by .
Step 4.1.1.3.3
Reorder and .
Step 4.2
Simplify the right side.
Tap for more steps...
Step 4.2.1
Simplify .
Tap for more steps...
Step 4.2.1.1
Multiply .
Tap for more steps...
Step 4.2.1.1.1
Multiply by .
Step 4.2.1.1.2
Combine and .
Step 4.2.1.2
Move the negative in front of the fraction.
Step 5
Solve for .
Tap for more steps...
Step 5.1
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 5.1.1
Subtract from both sides of the equation.
Step 5.1.2
To write as a fraction with a common denominator, multiply by .
Step 5.1.3
Combine and .
Step 5.1.4
Combine the numerators over the common denominator.
Step 5.1.5
Simplify the numerator.
Tap for more steps...
Step 5.1.5.1
Multiply by .
Step 5.1.5.2
Subtract from .
Step 5.1.6
Move the negative in front of the fraction.
Step 5.2
Divide each term in by and simplify.
Tap for more steps...
Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
Tap for more steps...
Step 5.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
Tap for more steps...
Step 5.2.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 5.2.3.2
Move the negative in front of the fraction.
Step 5.2.3.3
Multiply .
Tap for more steps...
Step 5.2.3.3.1
Multiply by .
Step 5.2.3.3.2
Multiply by .
Step 5.2.3.3.3
Multiply by .
Step 5.2.3.3.4
Multiply by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: