What is 1440/1100 Simplified? (Reduce 1440/1100 to Lowest Terms: 72/55)

Exact Answer

==================================================
Problem: Simplify 1440/1100 to Lowest Terms
Formula / Expression: 1440/1100 = 72/55
Final Answer: 1 17/55 (72/55)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 1100: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275
Working: GCD(1440, 1100) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1440) and denominator (1100) by 20.
Working: 1440 ÷ 20/1100 ÷ 20 = 72/55

Step 3: Convert Improper Fraction to a Mixed Number
Because 72 is larger than 55, 72/55 can also be written as the mixed number 1 17/55.
Working: 72/55 = 1 17/55

Key Values:
- Simplified Fraction: 72/55
- Mixed Number Form: 1 17/55
- Decimal Value: 1.309091
- Percentage: 130.9091%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-1100/
==================================================

1440/1100 = 72/55

Simplified Fraction

72/55

Mixed Number

1 17/55

Decimal Value

1.309091

Percentage

130.9091%

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: 1440/1100 = 72/55

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 1100: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275

GCD(1440, 1100) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1440) and denominator (1100) by 20.

1440 ÷ 20/1100 ÷ 20 = 72/55

Step 3

Convert Improper Fraction to a Mixed Number

Because 72 is larger than 55, 72/55 can also be written as the mixed number 1 17/55.

72/55 = 117/55

Visual Representation

The diagram below illustrates Simplify 1440/1100 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`72/55`
Mixed Number Form	`1 17/55`
Decimal Form	`1.309091`
Percentage	`130.9091%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1440/1100 in simplest form?

1440/1100 simplified to lowest terms is 72/55.

What is the GCD (GCF) of 1440 and 1100?

The Greatest Common Divisor (GCD) of 1440 and 1100 is 20.

What are equivalent fractions to 1440/1100?

Equivalent fractions to 1440/1100 include 144/110, 216/165, and 288/220.