Basic Math Examples

Evaluate ((13/15-5)/(8/10))÷(5/2)+5/4
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
Combine and .
Step 3
Combine the numerators over the common denominator.
Step 4
Simplify the numerator.
Tap for more steps...
Step 4.1
Multiply by .
Step 4.2
Subtract from .
Step 5
Simplify each term.
Tap for more steps...
Step 5.1
To divide by a fraction, multiply by its reciprocal.
Step 5.2
Cancel the common factor of and .
Tap for more steps...
Step 5.2.1
Factor out of .
Step 5.2.2
Cancel the common factors.
Tap for more steps...
Step 5.2.2.1
Factor out of .
Step 5.2.2.2
Cancel the common factor.
Step 5.2.2.3
Rewrite the expression.
Step 5.3
Multiply the numerator by the reciprocal of the denominator.
Step 5.4
Cancel the common factor of .
Tap for more steps...
Step 5.4.1
Factor out of .
Step 5.4.2
Factor out of .
Step 5.4.3
Cancel the common factor.
Step 5.4.4
Rewrite the expression.
Step 5.5
Cancel the common factor of .
Tap for more steps...
Step 5.5.1
Factor out of .
Step 5.5.2
Cancel the common factor.
Step 5.5.3
Rewrite the expression.
Step 5.6
Multiply by .
Step 5.7
Multiply by .
Step 5.8
Cancel the common factor of .
Tap for more steps...
Step 5.8.1
Factor out of .
Step 5.8.2
Cancel the common factor.
Step 5.8.3
Rewrite the expression.
Step 5.9
Multiply by .
Step 5.10
Multiply by .
Step 5.11
Move the negative in front of the fraction.
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
To write as a fraction with a common denominator, multiply by .
Step 8
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 8.1
Multiply by .
Step 8.2
Multiply by .
Step 8.3
Multiply by .
Step 8.4
Multiply by .
Step 9
Combine the numerators over the common denominator.
Step 10
Simplify the numerator.
Tap for more steps...
Step 10.1
Multiply by .
Step 10.2
Multiply by .
Step 10.3
Add and .
Step 11
Move the negative in front of the fraction.
Step 12
The result can be shown in multiple forms.
Exact Form:
Decimal Form: