What is 5/11 plus 3/4? (Answer: 53/44)

Exact Answer

==================================================
Problem: What is 5/11 plus 3/4?
Formula / Expression: 5/11 + 3/4
Final Answer: 1 9/44 (53/44)
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 11 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 11 × 4 = 44.
Working: LCD(11, 4) = 44

Step 2: Convert to Equivalent Fractions with Common Denominator 44
Multiply the numerator and denominator of 5/11 by 4, and multiply the numerator and denominator of 3/4 by 11 so both fractions share the common base 44.
Working: 5 × 4/11 × 4 = 20/44 and 3 × 11/4 × 11 = 33/44

Step 3: Add the Numerators
Now add the numerators (20 + 33 = 53) and keep the common denominator 44 unchanged.
Working: 20 + 33/44 = 53/44

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 53 and 44 is 1, confirming that 53/44 cannot be reduced further—it is already in its simplest irreducible form.
Working: 53/44

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (53) is greater than the denominator (44), divide 53 by 44: it goes in 1 whole time(s) with a remainder of 9, giving the mixed number 1 9/44.
Working: 53/44 = 1 9/44

Step 6: Decimal & Percentage Representation
Dividing the numerator 53 by denominator 44 produces a repeating decimal (approximately 1.204545, or 120.4545%).
Working: 53 ÷ 44 = 1.204545 (120.4545%)

Key Values:
- Simplified Fraction: 53/44
- Mixed Number Form: 1 9/44
- Decimal Value: 1.204545
- Percentage: 120.4545%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-11-plus-3-4/
==================================================

5/11 + 3/4 = 53/44

Simplified Fraction

53/44

Mixed Number

1 9/44

Decimal Value

1.204545

Percentage

120.4545%

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: 5/11 + 3/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 11 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 11 × 4 = 44.

LCD(11, 4) = 44

Step 2

Convert to Equivalent Fractions with Common Denominator 44

Multiply the numerator and denominator of 5/11 by 4, and multiply the numerator and denominator of 3/4 by 11 so both fractions share the common base 44.

5 × 4/11 × 4 = 20/44 and 3 × 11/4 × 11 = 33/44

Step 3

Add the Numerators

Now add the numerators (20 + 33 = 53) and keep the common denominator 44 unchanged.

20 + 33/44 = 53/44

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 53 and 44 is 1, confirming that 53/44 cannot be reduced further—it is already in its simplest irreducible form.

53/44

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (53) is greater than the denominator (44), divide 53 by 44: it goes in 1 whole time(s) with a remainder of 9, giving the mixed number 1 9/44.

53/44 = 19/44

Step 6

Decimal & Percentage Representation

Dividing the numerator 53 by denominator 44 produces a repeating decimal (approximately 1.204545, or 120.4545%).

53 ÷ 44 = 1.204545 (120.4545%)

Visual Representation

The diagram below illustrates 5/11 plus 3/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`53/44`
Mixed Number Form	`1 9/44`
Decimal Form	`1.204545`
Percentage	`120.4545%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 5/11 plus 3/4 as a fraction?

5/11 + 3/4 in simplest fraction form is 53/44 (or 1 9/44 as a mixed number).

What is 5/11 plus 3/4 as a decimal?

5/11 + 3/4 converted to a decimal is 1.204545.

What is 5/11 plus 3/4 as a percentage?

5/11 + 3/4 expressed as a percentage is 120.4545%.

How do you write 5/11 plus 3/4 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 53/44 can be written as the mixed number 1 9/44.

Does 5/11 plus 3/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.204545...) because the denominator contains prime factors other than 2 and 5.