What is 4/8 plus 4/7? (Answer: 15/14)

Exact Answer

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Problem: What is 4/8 plus 4/7?
Formula / Expression: 4/8 + 4/7
Final Answer: 1 1/14 (15/14)
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Step-by-Step Solution:

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.
Working: 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 4/7 by 8 so both fractions share the common base 56.
Working: 4 × 7/8 × 7 = 28/56 and 4 × 8/7 × 8 = 32/56

Step 3: Add the Numerators
Now add the numerators (28 + 32 = 60) and keep the common denominator 56 unchanged.
Working: 28 + 32/56 = 60/56

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 60 and 56, which is 4. Divide both the numerator and denominator by 4.
Working: 60 ÷ 4/56 ÷ 4 = 15/14

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (15) is greater than the denominator (14), divide 15 by 14: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/14.
Working: 15/14 = 1 1/14

Step 6: Decimal & Percentage Representation
Dividing the numerator 15 by denominator 14 produces a repeating decimal (approximately 1.071429, or 107.1429%).
Working: 15 ÷ 14 = 1.071429 (107.1429%)

Key Values:
- Simplified Fraction: 15/14
- Mixed Number Form: 1 1/14
- Decimal Value: 1.071429
- Percentage: 107.1429%

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Solved with FractionsCalc:
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4/8 + 4/7 = 15/14

Simplified Fraction

15/14

Mixed Number

1 1/14

Decimal Value

1.071429

Percentage

107.1429%

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Step-by-Step Solution: 4/8 + 4/7

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 4/7 by 8 so both fractions share the common base 56.

4 × 7/8 × 7 = 28/56 and 4 × 8/7 × 8 = 32/56

Step 3

Add the Numerators

Now add the numerators (28 + 32 = 60) and keep the common denominator 56 unchanged.

28 + 32/56 = 60/56

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 60 and 56, which is 4. Divide both the numerator and denominator by 4.

60 ÷ 4/56 ÷ 4 = 15/14

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (15) is greater than the denominator (14), divide 15 by 14: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/14.

15/14 = 11/14

Step 6

Decimal & Percentage Representation

Dividing the numerator 15 by denominator 14 produces a repeating decimal (approximately 1.071429, or 107.1429%).

15 ÷ 14 = 1.071429 (107.1429%)

Visual Representation

The diagram below illustrates 4/8 plus 4/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/14`
Mixed Number Form	`1 1/14`
Decimal Form	`1.071429`
Percentage	`107.1429%`

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Frequently Asked Questions

What is 4/8 plus 4/7 as a fraction?

4/8 + 4/7 in simplest fraction form is 15/14 (or 1 1/14 as a mixed number).

What is 4/8 plus 4/7 as a decimal?

4/8 + 4/7 converted to a decimal is 1.071429.

What is 4/8 plus 4/7 as a percentage?

4/8 + 4/7 expressed as a percentage is 107.1429%.

How do you write 4/8 plus 4/7 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 15/14 can be written as the mixed number 1 1/14.

Does 4/8 plus 4/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.071429...) because the denominator contains prime factors other than 2 and 5.