Basic Math Examples

Solve for z 0.6/1=30/z
0.61=30z0.61=30z
Step 1
Rewrite the equation as 30z=0.6130z=0.61.
30z=0.6130z=0.61
Step 2
Divide 0.60.6 by 11.
30z=0.630z=0.6
Step 3
Find the LCD of the terms in the equation.
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Step 3.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
z,1z,1
Step 3.2
The LCM of one and any expression is the expression.
zz
zz
Step 4
Multiply each term in 30z=0.630z=0.6 by zz to eliminate the fractions.
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Step 4.1
Multiply each term in 30z=0.630z=0.6 by zz.
30zz=0.6z30zz=0.6z
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of zz.
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Step 4.2.1.1
Cancel the common factor.
30zz=0.6z
Step 4.2.1.2
Rewrite the expression.
30=0.6z
30=0.6z
30=0.6z
30=0.6z
Step 5
Solve the equation.
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Step 5.1
Rewrite the equation as 0.6z=30.
0.6z=30
Step 5.2
Divide each term in 0.6z=30 by 0.6 and simplify.
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Step 5.2.1
Divide each term in 0.6z=30 by 0.6.
0.6z0.6=300.6
Step 5.2.2
Simplify the left side.
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Step 5.2.2.1
Cancel the common factor of 0.6.
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Step 5.2.2.1.1
Cancel the common factor.
0.6z0.6=300.6
Step 5.2.2.1.2
Divide z by 1.
z=300.6
z=300.6
z=300.6
Step 5.2.3
Simplify the right side.
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Step 5.2.3.1
Divide 30 by 0.6.
z=50
z=50
z=50
z=50
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