What is 3/18 plus 2/7? (Answer: 19/42)

Exact Answer

==================================================
Problem: What is 3/18 plus 2/7?
Formula / Expression: 3/18 + 2/7
Final Answer: 19/42
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 18 and 7 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 18 × 7 = 126.
Working: LCD(18, 7) = 126

Step 2: Convert to Equivalent Fractions with Common Denominator 126
Multiply the numerator and denominator of 3/18 by 7, and multiply the numerator and denominator of 2/7 by 18 so both fractions share the common base 126.
Working: 3 × 7/18 × 7 = 21/126 and 2 × 18/7 × 18 = 36/126

Step 3: Add the Numerators
Now add the numerators (21 + 36 = 57) and keep the common denominator 126 unchanged.
Working: 21 + 36/126 = 57/126

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 57 and 126, which is 3. Divide both the numerator and denominator by 3.
Working: 57 ÷ 3/126 ÷ 3 = 19/42

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 42 produces a repeating decimal (approximately 0.452381, or 45.2381%).
Working: 19 ÷ 42 = 0.452381 (45.2381%)

Key Values:
- Simplified Fraction: 19/42
- Mixed Number Form: 19/42
- Decimal Value: 0.452381
- Percentage: 45.2381%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-18-plus-2-7/
==================================================

3/18 + 2/7 = 19/42

Simplified Fraction

19/42

Mixed Number

Proper (19/42)

Decimal Value

0.452381

Percentage

45.2381%

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: 3/18 + 2/7

Step 1

Find the Least Common Denominator (LCD)

The denominators 18 and 7 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 18 × 7 = 126.

LCD(18, 7) = 126

Step 2

Convert to Equivalent Fractions with Common Denominator 126

Multiply the numerator and denominator of 3/18 by 7, and multiply the numerator and denominator of 2/7 by 18 so both fractions share the common base 126.

3 × 7/18 × 7 = 21/126 and 2 × 18/7 × 18 = 36/126

Step 3

Add the Numerators

Now add the numerators (21 + 36 = 57) and keep the common denominator 126 unchanged.

21 + 36/126 = 57/126

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 57 and 126, which is 3. Divide both the numerator and denominator by 3.

57 ÷ 3/126 ÷ 3 = 19/42

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 42 produces a repeating decimal (approximately 0.452381, or 45.2381%).

19 ÷ 42 = 0.452381 (45.2381%)

Visual Representation

The diagram below illustrates 3/18 plus 2/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/42`
Mixed Number Form	`19/42`
Decimal Form	`0.452381`
Percentage	`45.2381%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 3/18 plus 2/7 as a fraction?

3/18 + 2/7 in simplest fraction form is 19/42.

What is 3/18 plus 2/7 as a decimal?

3/18 + 2/7 converted to a decimal is 0.452381.

What is 3/18 plus 2/7 as a percentage?

3/18 + 2/7 expressed as a percentage is 45.2381%.

Does 3/18 plus 2/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.452381...) because the denominator contains prime factors other than 2 and 5.