What is 4/8 plus 3/5?
4/8 plus 3/5 equals 11/10 (or 1 1/10 as a mixed number) (or 1.1 in decimal form). Learn the step-by-step solution to add 4/8 and 3/5 using Least Common Denominator and simplification.
Exact Answer
4/8 + 3/5 = 11/10
Simplified Fraction
11/10
Mixed Number
1 1/10
Decimal Value
1.1
Percentage
110%
Step-by-Step Solution: 4/8 + 3/5
Step 1
Find the Least Common Denominator (LCD)
The denominators 8 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 5 = 40.
LCD(8, 5) = 40
Step 2
Convert to Equivalent Fractions with Common Denominator 40
Multiply the numerator and denominator of 4/8 by 5, and multiply the numerator and denominator of 3/5 by 8 so both fractions share the common base 40.
4 × 5/8 × 5 = 20/40 and 3 × 8/5 × 8 = 24/40
Step 3
Add the Numerators
Now add the numerators (20 + 24 = 44) and keep the common denominator 40 unchanged.
20 + 24/40 = 44/40
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 44 and 40, which is 4. Divide both the numerator and denominator by 4.
44 ÷ 4/40 ÷ 4 = 11/10
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (11) is greater than the denominator (10), divide 11 by 10: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/10.
11/10 = 11/10
Step 6
Decimal & Percentage Representation
Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).
11 ÷ 10 = 1.1 (110%)
Visual Representation
The diagram below illustrates 4/8 plus 3/5 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/10 |
| Mixed Number Form | 1 1/10 |
| Decimal Form | 1.1 |
| Percentage | 110% |
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Frequently Asked Questions
What is 4/8 plus 3/5 as a fraction?
4/8 + 3/5 in simplest fraction form is 11/10 (or 1 1/10 as a mixed number).
What is 4/8 plus 3/5 as a decimal?
4/8 + 3/5 converted to a decimal is 1.1.
What is 4/8 plus 3/5 as a percentage?
4/8 + 3/5 expressed as a percentage is 110%.
How do you write 4/8 plus 3/5 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 11/10 can be written as the mixed number 1 1/10.
Does 4/8 plus 3/5 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.1) because the denominator in simplest terms contains only prime factors 2 and/or 5.