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Simplify 1 1/8+4 1/4

118+414

Step 1
Convert 118 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.
1+18+414
Add 1 and 18.

Write 1 as a fraction with a common denominator.
88+18+414
Combine the numerators over the common denominator.
8+18+414
Add 8 and 1.
98+414
98+414
98+414

Step 2
Convert 414 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.
98+4+14
Add 4 and 14.

To write 4 as a fraction with a common denominator, multiply by 44.
98+444+14
Combine 4 and 44.
98+444+14
Combine the numerators over the common denominator.
98+44+14
Simplify the numerator.

Multiply 4 by 4.
98+16+14
Add 16 and 1.
98+174
98+174
98+174
98+174

Step 3
To write 174 as a fraction with a common denominator, multiply by 22.
98+17422

Step 4
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.

Multiply 174 by 22.
98+17242
Multiply 4 by 2.
98+1728
98+1728

Step 5
Combine the numerators over the common denominator.
9+1728

Step 6
Simplify the numerator.

Multiply 17 by 2.
9+348
Add 9 and 34.
438
438

Step 7
The result can be shown in multiple forms.
Exact Form:
438
Decimal Form:
5.375
Mixed Number Form:
538