What is 2/15 plus 7/8?
2/15 plus 7/8 equals 121/120 (or 1 1/120 as a mixed number) (or 1.008333 in decimal form). Learn the step-by-step solution to add 2/15 and 7/8 using Least Common Denominator and simplification.
Exact Answer
2/15 + 7/8 = 121/120
Simplified Fraction
121/120
Mixed Number
1 1/120
Decimal Value
1.008333
Percentage
100.8333%
Step-by-Step Solution: 2/15 + 7/8
Step 1
Find the Least Common Denominator (LCD)
The denominators 15 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 8 = 120.
LCD(15, 8) = 120
Step 2
Convert to Equivalent Fractions with Common Denominator 120
Multiply the numerator and denominator of 2/15 by 8, and multiply the numerator and denominator of 7/8 by 15 so both fractions share the common base 120.
2 × 8/15 × 8 = 16/120 and 7 × 15/8 × 15 = 105/120
Step 3
Add the Numerators
Now add the numerators (16 + 105 = 121) and keep the common denominator 120 unchanged.
16 + 105/120 = 121/120
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 121 and 120 is 1, confirming that 121/120 cannot be reduced further—it is already in its simplest irreducible form.
121/120
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (121) is greater than the denominator (120), divide 121 by 120: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/120.
121/120 = 11/120
Step 6
Decimal & Percentage Representation
Dividing the numerator 121 by denominator 120 produces a repeating decimal (approximately 1.008333, or 100.8333%).
121 ÷ 120 = 1.008333 (100.8333%)
Visual Representation
The diagram below illustrates 2/15 plus 7/8 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 121/120 |
| Mixed Number Form | 1 1/120 |
| Decimal Form | 1.008333 |
| Percentage | 100.8333% |
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Frequently Asked Questions
What is 2/15 plus 7/8 as a fraction?
2/15 + 7/8 in simplest fraction form is 121/120 (or 1 1/120 as a mixed number).
What is 2/15 plus 7/8 as a decimal?
2/15 + 7/8 converted to a decimal is 1.008333.
What is 2/15 plus 7/8 as a percentage?
2/15 + 7/8 expressed as a percentage is 100.8333%.
How do you write 2/15 plus 7/8 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 121/120 can be written as the mixed number 1 1/120.
Does 2/15 plus 7/8 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.008333...) because the denominator contains prime factors other than 2 and 5.