What is 3/22 plus 2/8? (Answer: 17/44)

Exact Answer

==================================================
Problem: What is 3/22 plus 2/8?
Formula / Expression: 3/22 + 2/8
Final Answer: 17/44
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 22 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 88 (which is smaller than their product 22 × 8 = 176, keeping the calculation simpler).
Working: LCD(22, 8) = 88

Step 2: Convert to Equivalent Fractions with Common Denominator 88
Multiply the numerator and denominator of 3/22 by 4, and multiply the numerator and denominator of 2/8 by 11 so both fractions share the common base 88.
Working: 3 × 4/22 × 4 = 12/88 and 2 × 11/8 × 11 = 22/88

Step 3: Add the Numerators
Now add the numerators (12 + 22 = 34) and keep the common denominator 88 unchanged.
Working: 12 + 22/88 = 34/88

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 34 and 88, which is 2. Divide both the numerator and denominator by 2.
Working: 34 ÷ 2/88 ÷ 2 = 17/44

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 44 produces a repeating decimal (approximately 0.386364, or 38.6364%).
Working: 17 ÷ 44 = 0.386364 (38.6364%)

Key Values:
- Simplified Fraction: 17/44
- Mixed Number Form: 17/44
- Decimal Value: 0.386364
- Percentage: 38.6364%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-22-plus-2-8/
==================================================

3/22 + 2/8 = 17/44

Simplified Fraction

17/44

Mixed Number

Proper (17/44)

Decimal Value

0.386364

Percentage

38.6364%

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: 3/22 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 22 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 88 (which is smaller than their product 22 × 8 = 176, keeping the calculation simpler).

LCD(22, 8) = 88

Step 2

Convert to Equivalent Fractions with Common Denominator 88

Multiply the numerator and denominator of 3/22 by 4, and multiply the numerator and denominator of 2/8 by 11 so both fractions share the common base 88.

3 × 4/22 × 4 = 12/88 and 2 × 11/8 × 11 = 22/88

Step 3

Add the Numerators

Now add the numerators (12 + 22 = 34) and keep the common denominator 88 unchanged.

12 + 22/88 = 34/88

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 34 and 88, which is 2. Divide both the numerator and denominator by 2.

34 ÷ 2/88 ÷ 2 = 17/44

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 44 produces a repeating decimal (approximately 0.386364, or 38.6364%).

17 ÷ 44 = 0.386364 (38.6364%)

Visual Representation

The diagram below illustrates 3/22 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/44`
Mixed Number Form	`17/44`
Decimal Form	`0.386364`
Percentage	`38.6364%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 3/22 plus 2/8 as a fraction?

3/22 + 2/8 in simplest fraction form is 17/44.

What is 3/22 plus 2/8 as a decimal?

3/22 + 2/8 converted to a decimal is 0.386364.

What is 3/22 plus 2/8 as a percentage?

3/22 + 2/8 expressed as a percentage is 38.6364%.

Does 3/22 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.386364...) because the denominator contains prime factors other than 2 and 5.