What is 2/8 plus 9/30? (Answer: 11/20)

Exact Answer

==================================================
Problem: What is 2/8 plus 9/30?
Formula / Expression: 2/8 + 9/30
Final Answer: 11/20
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 30 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 120 (which is smaller than their product 8 × 30 = 240, keeping the calculation simpler).
Working: LCD(8, 30) = 120

Step 2: Convert to Equivalent Fractions with Common Denominator 120
Multiply the numerator and denominator of 2/8 by 15, and multiply the numerator and denominator of 9/30 by 4 so both fractions share the common base 120.
Working: 2 × 15/8 × 15 = 30/120 and 9 × 4/30 × 4 = 36/120

Step 3: Add the Numerators
Now add the numerators (30 + 36 = 66) and keep the common denominator 120 unchanged.
Working: 30 + 36/120 = 66/120

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 66 and 120, which is 6. Divide both the numerator and denominator by 6.
Working: 66 ÷ 6/120 ÷ 6 = 11/20

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 20 yields an exact terminating decimal of 0.55 (or 55%).
Working: 11 ÷ 20 = 0.55 (55%)

Key Values:
- Simplified Fraction: 11/20
- Mixed Number Form: 11/20
- Decimal Value: 0.55
- Percentage: 55%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-9-30/
==================================================

2/8 + 9/30 = 11/20

Simplified Fraction

11/20

Mixed Number

Proper (11/20)

Decimal Value

0.55

Percentage

55%

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 + 9/30

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 30 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 120 (which is smaller than their product 8 × 30 = 240, keeping the calculation simpler).

LCD(8, 30) = 120

Step 2

Convert to Equivalent Fractions with Common Denominator 120

Multiply the numerator and denominator of 2/8 by 15, and multiply the numerator and denominator of 9/30 by 4 so both fractions share the common base 120.

2 × 15/8 × 15 = 30/120 and 9 × 4/30 × 4 = 36/120

Step 3

Add the Numerators

Now add the numerators (30 + 36 = 66) and keep the common denominator 120 unchanged.

30 + 36/120 = 66/120

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 66 and 120, which is 6. Divide both the numerator and denominator by 6.

66 ÷ 6/120 ÷ 6 = 11/20

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 20 yields an exact terminating decimal of 0.55 (or 55%).

11 ÷ 20 = 0.55 (55%)

Visual Representation

The diagram below illustrates 2/8 plus 9/30 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/20`
Mixed Number Form	`11/20`
Decimal Form	`0.55`
Percentage	`55%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/8 plus 9/30 as a fraction?

2/8 + 9/30 in simplest fraction form is 11/20.

What is 2/8 plus 9/30 as a decimal?

2/8 + 9/30 converted to a decimal is 0.55.

What is 2/8 plus 9/30 as a percentage?

2/8 + 9/30 expressed as a percentage is 55%.

Does 2/8 plus 9/30 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.55) because the denominator in simplest terms contains only prime factors 2 and/or 5.