What is 1/8 plus 5/7? (Answer: 47/56)

Exact Answer

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Problem: What is 1/8 plus 5/7?
Formula / Expression: 1/8 + 5/7
Final Answer: 47/56
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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 1/8 by 7, and multiply the numerator and denominator of 5/7 by 8 so both fractions share the common base 56.
Working: 1 × 7/8 × 7 = 7/56 and 5 × 8/7 × 8 = 40/56

Step 3: Add the Numerators
Now add the numerators (7 + 40 = 47) and keep the common denominator 56 unchanged.
Working: 7 + 40/56 = 47/56

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 47 and 56 is 1, confirming that 47/56 cannot be reduced further—it is already in its simplest irreducible form.
Working: 47/56

Step 5: Decimal & Percentage Representation
Dividing the numerator 47 by denominator 56 produces a repeating decimal (approximately 0.839286, or 83.9286%).
Working: 47 ÷ 56 = 0.839286 (83.9286%)

Key Values:
- Simplified Fraction: 47/56
- Mixed Number Form: 47/56
- Decimal Value: 0.839286
- Percentage: 83.9286%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-8-plus-5-7/
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1/8 + 5/7 = 47/56

Simplified Fraction

47/56

Mixed Number

Proper (47/56)

Decimal Value

0.839286

Percentage

83.9286%

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Step-by-Step Solution: 1/8 + 5/7

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 1/8 by 7, and multiply the numerator and denominator of 5/7 by 8 so both fractions share the common base 56.

1 × 7/8 × 7 = 7/56 and 5 × 8/7 × 8 = 40/56

Step 3

Add the Numerators

Now add the numerators (7 + 40 = 47) and keep the common denominator 56 unchanged.

7 + 40/56 = 47/56

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 47 and 56 is 1, confirming that 47/56 cannot be reduced further—it is already in its simplest irreducible form.

47/56

Step 5

Decimal & Percentage Representation

Dividing the numerator 47 by denominator 56 produces a repeating decimal (approximately 0.839286, or 83.9286%).

47 ÷ 56 = 0.839286 (83.9286%)

Visual Representation

The diagram below illustrates 1/8 plus 5/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`47/56`
Mixed Number Form	`47/56`
Decimal Form	`0.839286`
Percentage	`83.9286%`

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Frequently Asked Questions

What is 1/8 plus 5/7 as a fraction?

1/8 + 5/7 in simplest fraction form is 47/56.

What is 1/8 plus 5/7 as a decimal?

1/8 + 5/7 converted to a decimal is 0.839286.

What is 1/8 plus 5/7 as a percentage?

1/8 + 5/7 expressed as a percentage is 83.9286%.

Does 1/8 plus 5/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.839286...) because the denominator contains prime factors other than 2 and 5.