What is 2/18 plus 7/8? (Answer: 71/72)

Exact Answer

==================================================
Problem: What is 2/18 plus 7/8?
Formula / Expression: 2/18 + 7/8
Final Answer: 71/72
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 18 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 18 × 8 = 144, keeping the calculation simpler).
Working: LCD(18, 8) = 72

Step 2: Convert to Equivalent Fractions with Common Denominator 72
Multiply the numerator and denominator of 2/18 by 4, and multiply the numerator and denominator of 7/8 by 9 so both fractions share the common base 72.
Working: 2 × 4/18 × 4 = 8/72 and 7 × 9/8 × 9 = 63/72

Step 3: Add the Numerators
Now add the numerators (8 + 63 = 71) and keep the common denominator 72 unchanged.
Working: 8 + 63/72 = 71/72

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 71 and 72 is 1, confirming that 71/72 cannot be reduced further—it is already in its simplest irreducible form.
Working: 71/72

Step 5: Decimal & Percentage Representation
Dividing the numerator 71 by denominator 72 produces a repeating decimal (approximately 0.986111, or 98.6111%).
Working: 71 ÷ 72 = 0.986111 (98.6111%)

Key Values:
- Simplified Fraction: 71/72
- Mixed Number Form: 71/72
- Decimal Value: 0.986111
- Percentage: 98.6111%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-18-plus-7-8/
==================================================

2/18 + 7/8 = 71/72

Simplified Fraction

71/72

Mixed Number

Proper (71/72)

Decimal Value

0.986111

Percentage

98.6111%

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: 2/18 + 7/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 18 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 18 × 8 = 144, keeping the calculation simpler).

LCD(18, 8) = 72

Step 2

Convert to Equivalent Fractions with Common Denominator 72

Multiply the numerator and denominator of 2/18 by 4, and multiply the numerator and denominator of 7/8 by 9 so both fractions share the common base 72.

2 × 4/18 × 4 = 8/72 and 7 × 9/8 × 9 = 63/72

Step 3

Add the Numerators

Now add the numerators (8 + 63 = 71) and keep the common denominator 72 unchanged.

8 + 63/72 = 71/72

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 71 and 72 is 1, confirming that 71/72 cannot be reduced further—it is already in its simplest irreducible form.

71/72

Step 5

Decimal & Percentage Representation

Dividing the numerator 71 by denominator 72 produces a repeating decimal (approximately 0.986111, or 98.6111%).

71 ÷ 72 = 0.986111 (98.6111%)

Visual Representation

The diagram below illustrates 2/18 plus 7/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`71/72`
Mixed Number Form	`71/72`
Decimal Form	`0.986111`
Percentage	`98.6111%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/18 plus 7/8 as a fraction?

2/18 + 7/8 in simplest fraction form is 71/72.

What is 2/18 plus 7/8 as a decimal?

2/18 + 7/8 converted to a decimal is 0.986111.

What is 2/18 plus 7/8 as a percentage?

2/18 + 7/8 expressed as a percentage is 98.6111%.

Does 2/18 plus 7/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.986111...) because the denominator contains prime factors other than 2 and 5.