What is 1144/1350 Simplified? (Reduce 1144/1350 to Lowest Terms: 572/675)

Exact Answer

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Problem: Simplify 1144/1350 to Lowest Terms
Formula / Expression: 1144/1350 = 572/675
Final Answer: 572/675
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
Working: GCD(1144, 1350) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1144) and denominator (1350) by 2.
Working: 1144 ÷ 2/1350 ÷ 2 = 572/675

Key Values:
- Simplified Fraction: 572/675
- Mixed Number Form: 572/675
- Decimal Value: 0.847407
- Percentage: 84.7407%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1144-1350/
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1144/1350 = 572/675

Simplified Fraction

572/675

Mixed Number

Proper (572/675)

Decimal Value

0.847407

Percentage

84.7407%

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Step-by-Step Solution: 1144/1350 = 572/675

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75

GCD(1144, 1350) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1144) and denominator (1350) by 2.

1144 ÷ 2/1350 ÷ 2 = 572/675

Visual Representation

The diagram below illustrates Simplify 1144/1350 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`572/675`
Mixed Number Form	`572/675`
Decimal Form	`0.847407`
Percentage	`84.7407%`

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Frequently Asked Questions

What is 1144/1350 in simplest form?

1144/1350 simplified to lowest terms is 572/675.

What is the GCD (GCF) of 1144 and 1350?

The Greatest Common Divisor (GCD) of 1144 and 1350 is 2.

What are equivalent fractions to 1144/1350?

Equivalent fractions to 1144/1350 include 1144/1350, 1716/2025, and 2288/2700.