Basic Math Examples

Solve for z z/8+z/7=9/8
z8+z7=98z8+z7=98
Step 1
Simplify z8+z7z8+z7.
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Step 1.1
To write z8z8 as a fraction with a common denominator, multiply by 7777.
z877+z7=98z877+z7=98
Step 1.2
To write z7z7 as a fraction with a common denominator, multiply by 8888.
z877+z788=98z877+z788=98
Step 1.3
Write each expression with a common denominator of 5656, by multiplying each by an appropriate factor of 11.
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Step 1.3.1
Multiply z8z8 by 7777.
z787+z788=98z787+z788=98
Step 1.3.2
Multiply 88 by 77.
z756+z788=98z756+z788=98
Step 1.3.3
Multiply z7z7 by 8888.
z756+z878=98z756+z878=98
Step 1.3.4
Multiply 77 by 88.
z756+z856=98z756+z856=98
z756+z856=98z756+z856=98
Step 1.4
Combine the numerators over the common denominator.
z7+z856=98z7+z856=98
Step 1.5
Simplify the numerator.
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Step 1.5.1
Move 77 to the left of zz.
7z+z856=987z+z856=98
Step 1.5.2
Move 88 to the left of zz.
7z+8z56=987z+8z56=98
Step 1.5.3
Add 7z7z and 8z8z.
15z56=9815z56=98
15z56=9815z56=98
15z56=9815z56=98
Step 2
Multiply both sides of the equation by 56155615.
561515z56=561598561515z56=561598
Step 3
Simplify both sides of the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify 561515z56561515z56.
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Step 3.1.1.1
Cancel the common factor of 5656.
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Step 3.1.1.1.1
Cancel the common factor.
561515z56=561598
Step 3.1.1.1.2
Rewrite the expression.
115(15z)=561598
115(15z)=561598
Step 3.1.1.2
Cancel the common factor of 15.
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Step 3.1.1.2.1
Factor 15 out of 15z.
115(15(z))=561598
Step 3.1.1.2.2
Cancel the common factor.
115(15z)=561598
Step 3.1.1.2.3
Rewrite the expression.
z=561598
z=561598
z=561598
z=561598
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify 561598.
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Step 3.2.1.1
Cancel the common factor of 8.
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Step 3.2.1.1.1
Factor 8 out of 56.
z=8(7)1598
Step 3.2.1.1.2
Cancel the common factor.
z=871598
Step 3.2.1.1.3
Rewrite the expression.
z=7159
z=7159
Step 3.2.1.2
Cancel the common factor of 3.
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Step 3.2.1.2.1
Factor 3 out of 15.
z=73(5)9
Step 3.2.1.2.2
Factor 3 out of 9.
z=735(33)
Step 3.2.1.2.3
Cancel the common factor.
z=735(33)
Step 3.2.1.2.4
Rewrite the expression.
z=753
z=753
Step 3.2.1.3
Combine 75 and 3.
z=735
Step 3.2.1.4
Multiply 7 by 3.
z=215
z=215
z=215
z=215
Step 4
The result can be shown in multiple forms.
Exact Form:
z=215
Decimal Form:
z=4.2
Mixed Number Form:
z=415
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