What is 2/33 plus 4/5? (Answer: 142/165)

Exact Answer

==================================================
Problem: What is 2/33 plus 4/5?
Formula / Expression: 2/33 + 4/5
Final Answer: 142/165
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 33 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 33 × 5 = 165.
Working: LCD(33, 5) = 165

Step 2: Convert to Equivalent Fractions with Common Denominator 165
Multiply the numerator and denominator of 2/33 by 5, and multiply the numerator and denominator of 4/5 by 33 so both fractions share the common base 165.
Working: 2 × 5/33 × 5 = 10/165 and 4 × 33/5 × 33 = 132/165

Step 3: Add the Numerators
Now add the numerators (10 + 132 = 142) and keep the common denominator 165 unchanged.
Working: 10 + 132/165 = 142/165

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 142 and 165 is 1, confirming that 142/165 cannot be reduced further—it is already in its simplest irreducible form.
Working: 142/165

Step 5: Decimal & Percentage Representation
Dividing the numerator 142 by denominator 165 produces a repeating decimal (approximately 0.860606, or 86.0606%).
Working: 142 ÷ 165 = 0.860606 (86.0606%)

Key Values:
- Simplified Fraction: 142/165
- Mixed Number Form: 142/165
- Decimal Value: 0.860606
- Percentage: 86.0606%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-33-plus-4-5/
==================================================

2/33 + 4/5 = 142/165

Simplified Fraction

142/165

Mixed Number

Proper (142/165)

Decimal Value

0.860606

Percentage

86.0606%

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: 2/33 + 4/5

Step 1

Find the Least Common Denominator (LCD)

The denominators 33 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 33 × 5 = 165.

LCD(33, 5) = 165

Step 2

Convert to Equivalent Fractions with Common Denominator 165

Multiply the numerator and denominator of 2/33 by 5, and multiply the numerator and denominator of 4/5 by 33 so both fractions share the common base 165.

2 × 5/33 × 5 = 10/165 and 4 × 33/5 × 33 = 132/165

Step 3

Add the Numerators

Now add the numerators (10 + 132 = 142) and keep the common denominator 165 unchanged.

10 + 132/165 = 142/165

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 142 and 165 is 1, confirming that 142/165 cannot be reduced further—it is already in its simplest irreducible form.

142/165

Step 5

Decimal & Percentage Representation

Dividing the numerator 142 by denominator 165 produces a repeating decimal (approximately 0.860606, or 86.0606%).

142 ÷ 165 = 0.860606 (86.0606%)

Visual Representation

The diagram below illustrates 2/33 plus 4/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`142/165`
Mixed Number Form	`142/165`
Decimal Form	`0.860606`
Percentage	`86.0606%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/33 plus 4/5 as a fraction?

2/33 + 4/5 in simplest fraction form is 142/165.

What is 2/33 plus 4/5 as a decimal?

2/33 + 4/5 converted to a decimal is 0.860606.

What is 2/33 plus 4/5 as a percentage?

2/33 + 4/5 expressed as a percentage is 86.0606%.

Does 2/33 plus 4/5 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.860606...) because the denominator contains prime factors other than 2 and 5.