What is 2/11 plus 7/8?
2/11 plus 7/8 equals 93/88 (or 1 5/88 as a mixed number) (or 1.056818 in decimal form). Learn the step-by-step solution to add 2/11 and 7/8 using Least Common Denominator and simplification.
Exact Answer
2/11 + 7/8 = 93/88
Simplified Fraction
93/88
Mixed Number
1 5/88
Decimal Value
1.056818
Percentage
105.6818%
Step-by-Step Solution: 2/11 + 7/8
Step 1
Find the Least Common Denominator (LCD)
The denominators 11 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 11 × 8 = 88.
LCD(11, 8) = 88
Step 2
Convert to Equivalent Fractions with Common Denominator 88
Multiply the numerator and denominator of 2/11 by 8, and multiply the numerator and denominator of 7/8 by 11 so both fractions share the common base 88.
2 × 8/11 × 8 = 16/88 and 7 × 11/8 × 11 = 77/88
Step 3
Add the Numerators
Now add the numerators (16 + 77 = 93) and keep the common denominator 88 unchanged.
16 + 77/88 = 93/88
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 93 and 88 is 1, confirming that 93/88 cannot be reduced further—it is already in its simplest irreducible form.
93/88
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (93) is greater than the denominator (88), divide 93 by 88: it goes in 1 whole time(s) with a remainder of 5, giving the mixed number 1 5/88.
93/88 = 15/88
Step 6
Decimal & Percentage Representation
Dividing the numerator 93 by denominator 88 produces a repeating decimal (approximately 1.056818, or 105.6818%).
93 ÷ 88 = 1.056818 (105.6818%)
Visual Representation
The diagram below illustrates 2/11 plus 7/8 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 93/88 |
| Mixed Number Form | 1 5/88 |
| Decimal Form | 1.056818 |
| Percentage | 105.6818% |
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Frequently Asked Questions
What is 2/11 plus 7/8 as a fraction?
2/11 + 7/8 in simplest fraction form is 93/88 (or 1 5/88 as a mixed number).
What is 2/11 plus 7/8 as a decimal?
2/11 + 7/8 converted to a decimal is 1.056818.
What is 2/11 plus 7/8 as a percentage?
2/11 + 7/8 expressed as a percentage is 105.6818%.
How do you write 2/11 plus 7/8 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 93/88 can be written as the mixed number 1 5/88.
Does 2/11 plus 7/8 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.056818...) because the denominator contains prime factors other than 2 and 5.