What is 2/8 plus 4/7? (Answer: 23/28)

Exact Answer

==================================================
Problem: What is 2/8 plus 4/7?
Formula / Expression: 2/8 + 4/7
Final Answer: 23/28
==================================================

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 2/8 by 7, and multiply the numerator and denominator of 4/7 by 8 so both fractions share the common base 56.
Working: 2 × 7/8 × 7 = 14/56 and 4 × 8/7 × 8 = 32/56

Step 3: Add the Numerators
Now add the numerators (14 + 32 = 46) and keep the common denominator 56 unchanged.
Working: 14 + 32/56 = 46/56

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 46 and 56, which is 2. Divide both the numerator and denominator by 2.
Working: 46 ÷ 2/56 ÷ 2 = 23/28

Step 5: Decimal & Percentage Representation
Dividing the numerator 23 by denominator 28 produces a repeating decimal (approximately 0.821429, or 82.1429%).
Working: 23 ÷ 28 = 0.821429 (82.1429%)

Key Values:
- Simplified Fraction: 23/28
- Mixed Number Form: 23/28
- Decimal Value: 0.821429
- Percentage: 82.1429%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-4-7/
==================================================

2/8 + 4/7 = 23/28

Simplified Fraction

23/28

Mixed Number

Proper (23/28)

Decimal Value

0.821429

Percentage

82.1429%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

Switch to Proportion / Missing X Solver (A/B = C/D) →

Enter 3 known numbers and leave 1 empty (or type x) to solve:

← Switch to Ratio Simplifier (A:B)

Provide any 2 values below to calculate the remaining:

Price before discount

Discount

Price after discount

You saved

+ Add Sales Tax & Extra Coupon (Optional)

Sales Tax: % Extra Off: %

Provide any 2 values below to calculate the remaining:

Cost

Markup

REVENUE

Gross Profit

Profit Margin

Bill Subtotal

Tip Percentage

Split (People)

👥

Quick Tip:

Total Bill

Split Between

👥

Tip % (Optional)

Include Tip:

Total Price

Quantity

Unit of Measure

← Discount & Sales Tax • Ratio Simplifier (A:B) →

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

Number to Round: To Nearest:

Method: Standard (5+ ↑) Always Up (Ceil) Always Down (Floor)

Presets:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 2/8 + 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 2/8 by 7, and multiply the numerator and denominator of 4/7 by 8 so both fractions share the common base 56.

2 × 7/8 × 7 = 14/56 and 4 × 8/7 × 8 = 32/56

Step 3

Add the Numerators

Now add the numerators (14 + 32 = 46) and keep the common denominator 56 unchanged.

14 + 32/56 = 46/56

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 46 and 56, which is 2. Divide both the numerator and denominator by 2.

46 ÷ 2/56 ÷ 2 = 23/28

Step 5

Decimal & Percentage Representation

Dividing the numerator 23 by denominator 28 produces a repeating decimal (approximately 0.821429, or 82.1429%).

23 ÷ 28 = 0.821429 (82.1429%)

Visual Representation

The diagram below illustrates 2/8 plus 4/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/28`
Mixed Number Form	`23/28`
Decimal Form	`0.821429`
Percentage	`82.1429%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/8 plus 4/7 as a fraction?

2/8 + 4/7 in simplest fraction form is 23/28.

What is 2/8 plus 4/7 as a decimal?

2/8 + 4/7 converted to a decimal is 0.821429.

What is 2/8 plus 4/7 as a percentage?

2/8 + 4/7 expressed as a percentage is 82.1429%.

Does 2/8 plus 4/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.821429...) because the denominator contains prime factors other than 2 and 5.