What is 3/6 plus 7/8?
3/6 plus 7/8 equals 11/8 (or 1 3/8 as a mixed number) (or 1.375 in decimal form). Learn the step-by-step solution to add 3/6 and 7/8 using Least Common Denominator and simplification.
Exact Answer
3/6 + 7/8 = 11/8
Simplified Fraction
11/8
Mixed Number
1 3/8
Decimal Value
1.375
Percentage
137.5%
Step-by-Step Solution: 3/6 + 7/8
Step 1
Find the Least Common Denominator (LCD)
The denominators 6 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 24 (which is smaller than their product 6 × 8 = 48, keeping the calculation simpler).
LCD(6, 8) = 24
Step 2
Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 3/6 by 4, and multiply the numerator and denominator of 7/8 by 3 so both fractions share the common base 24.
3 × 4/6 × 4 = 12/24 and 7 × 3/8 × 3 = 21/24
Step 3
Add the Numerators
Now add the numerators (12 + 21 = 33) and keep the common denominator 24 unchanged.
12 + 21/24 = 33/24
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 33 and 24, which is 3. Divide both the numerator and denominator by 3.
33 ÷ 3/24 ÷ 3 = 11/8
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (11) is greater than the denominator (8), divide 11 by 8: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/8.
11/8 = 13/8
Step 6
Decimal & Percentage Representation
Dividing the numerator 11 by denominator 8 yields an exact terminating decimal of 1.375 (or 137.5%).
11 ÷ 8 = 1.375 (137.5%)
Visual Representation
The diagram below illustrates 3/6 plus 7/8 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/8 |
| Mixed Number Form | 1 3/8 |
| Decimal Form | 1.375 |
| Percentage | 137.5% |
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Frequently Asked Questions
What is 3/6 plus 7/8 as a fraction?
3/6 + 7/8 in simplest fraction form is 11/8 (or 1 3/8 as a mixed number).
What is 3/6 plus 7/8 as a decimal?
3/6 + 7/8 converted to a decimal is 1.375.
What is 3/6 plus 7/8 as a percentage?
3/6 + 7/8 expressed as a percentage is 137.5%.
How do you write 3/6 plus 7/8 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 11/8 can be written as the mixed number 1 3/8.
Does 3/6 plus 7/8 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.375) because the denominator in simplest terms contains only prime factors 2 and/or 5.