What is 2/7 plus 9/30? (Answer: 41/70)

Exact Answer

==================================================
Problem: What is 2/7 plus 9/30?
Formula / Expression: 2/7 + 9/30
Final Answer: 41/70
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 7 and 30 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 7 × 30 = 210.
Working: LCD(7, 30) = 210

Step 2: Convert to Equivalent Fractions with Common Denominator 210
Multiply the numerator and denominator of 2/7 by 30, and multiply the numerator and denominator of 9/30 by 7 so both fractions share the common base 210.
Working: 2 × 30/7 × 30 = 60/210 and 9 × 7/30 × 7 = 63/210

Step 3: Add the Numerators
Now add the numerators (60 + 63 = 123) and keep the common denominator 210 unchanged.
Working: 60 + 63/210 = 123/210

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 123 and 210, which is 3. Divide both the numerator and denominator by 3.
Working: 123 ÷ 3/210 ÷ 3 = 41/70

Step 5: Decimal & Percentage Representation
Dividing the numerator 41 by denominator 70 produces a repeating decimal (approximately 0.585714, or 58.5714%).
Working: 41 ÷ 70 = 0.585714 (58.5714%)

Key Values:
- Simplified Fraction: 41/70
- Mixed Number Form: 41/70
- Decimal Value: 0.585714
- Percentage: 58.5714%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-7-plus-9-30/
==================================================

2/7 + 9/30 = 41/70

Simplified Fraction

41/70

Mixed Number

Proper (41/70)

Decimal Value

0.585714

Percentage

58.5714%

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: 2/7 + 9/30

Step 1

Find the Least Common Denominator (LCD)

The denominators 7 and 30 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 7 × 30 = 210.

LCD(7, 30) = 210

Step 2

Convert to Equivalent Fractions with Common Denominator 210

Multiply the numerator and denominator of 2/7 by 30, and multiply the numerator and denominator of 9/30 by 7 so both fractions share the common base 210.

2 × 30/7 × 30 = 60/210 and 9 × 7/30 × 7 = 63/210

Step 3

Add the Numerators

Now add the numerators (60 + 63 = 123) and keep the common denominator 210 unchanged.

60 + 63/210 = 123/210

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 123 and 210, which is 3. Divide both the numerator and denominator by 3.

123 ÷ 3/210 ÷ 3 = 41/70

Step 5

Decimal & Percentage Representation

Dividing the numerator 41 by denominator 70 produces a repeating decimal (approximately 0.585714, or 58.5714%).

41 ÷ 70 = 0.585714 (58.5714%)

Visual Representation

The diagram below illustrates 2/7 plus 9/30 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`41/70`
Mixed Number Form	`41/70`
Decimal Form	`0.585714`
Percentage	`58.5714%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/7 plus 9/30 as a fraction?

2/7 + 9/30 in simplest fraction form is 41/70.

What is 2/7 plus 9/30 as a decimal?

2/7 + 9/30 converted to a decimal is 0.585714.

What is 2/7 plus 9/30 as a percentage?

2/7 + 9/30 expressed as a percentage is 58.5714%.

Does 2/7 plus 9/30 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.585714...) because the denominator contains prime factors other than 2 and 5.