What is 4/8 plus 6/7?
4/8 plus 6/7 equals 19/14 (or 1 5/14 as a mixed number) (or 1.357143 in decimal form). Learn the step-by-step solution to add 4/8 and 6/7 using Least Common Denominator and simplification.
Exact Answer
4/8 + 6/7 = 19/14
Simplified Fraction
19/14
Mixed Number
1 5/14
Decimal Value
1.357143
Percentage
135.7143%
Step-by-Step Solution: 4/8 + 6/7
Step 1
Find the Least Common Denominator (LCD)
The denominators 8 and 7 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 7 = 56.
LCD(8, 7) = 56
Step 2
Convert to Equivalent Fractions with Common Denominator 56
Multiply the numerator and denominator of 4/8 by 7, and multiply the numerator and denominator of 6/7 by 8 so both fractions share the common base 56.
4 × 7/8 × 7 = 28/56 and 6 × 8/7 × 8 = 48/56
Step 3
Add the Numerators
Now add the numerators (28 + 48 = 76) and keep the common denominator 56 unchanged.
28 + 48/56 = 76/56
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 76 and 56, which is 4. Divide both the numerator and denominator by 4.
76 ÷ 4/56 ÷ 4 = 19/14
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (19) is greater than the denominator (14), divide 19 by 14: it goes in 1 whole time(s) with a remainder of 5, giving the mixed number 1 5/14.
19/14 = 15/14
Step 6
Decimal & Percentage Representation
Dividing the numerator 19 by denominator 14 produces a repeating decimal (approximately 1.357143, or 135.7143%).
19 ÷ 14 = 1.357143 (135.7143%)
Visual Representation
The diagram below illustrates 4/8 plus 6/7 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 19/14 |
| Mixed Number Form | 1 5/14 |
| Decimal Form | 1.357143 |
| Percentage | 135.7143% |
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Frequently Asked Questions
What is 4/8 plus 6/7 as a fraction?
4/8 + 6/7 in simplest fraction form is 19/14 (or 1 5/14 as a mixed number).
What is 4/8 plus 6/7 as a decimal?
4/8 + 6/7 converted to a decimal is 1.357143.
What is 4/8 plus 6/7 as a percentage?
4/8 + 6/7 expressed as a percentage is 135.7143%.
How do you write 4/8 plus 6/7 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 19/14 can be written as the mixed number 1 5/14.
Does 4/8 plus 6/7 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.357143...) because the denominator contains prime factors other than 2 and 5.