What is 1344/1150 Simplified? (Reduce 1344/1150 to Lowest Terms: 672/575)

Exact Answer

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Problem: Simplify 1344/1150 to Lowest Terms
Formula / Expression: 1344/1150 = 672/575
Final Answer: 1 97/575 (672/575)
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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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1150: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
Working: GCD(1344, 1150) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1344) and denominator (1150) by 2.
Working: 1344 ÷ 2/1150 ÷ 2 = 672/575

Step 3: Convert Improper Fraction to a Mixed Number
Because 672 is larger than 575, 672/575 can also be written as the mixed number 1 97/575.
Working: 672/575 = 1 97/575

Key Values:
- Simplified Fraction: 672/575
- Mixed Number Form: 1 97/575
- Decimal Value: 1.168696
- Percentage: 116.8696%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1344-1150/
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1344/1150 = 672/575

Simplified Fraction

672/575

Mixed Number

1 97/575

Decimal Value

1.168696

Percentage

116.8696%

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Step-by-Step Solution: 1344/1150 = 672/575

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1150: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150

GCD(1344, 1150) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1344) and denominator (1150) by 2.

1344 ÷ 2/1150 ÷ 2 = 672/575

Step 3

Convert Improper Fraction to a Mixed Number

Because 672 is larger than 575, 672/575 can also be written as the mixed number 1 97/575.

672/575 = 197/575

Visual Representation

The diagram below illustrates Simplify 1344/1150 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`672/575`
Mixed Number Form	`1 97/575`
Decimal Form	`1.168696`
Percentage	`116.8696%`

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Frequently Asked Questions

What is 1344/1150 in simplest form?

1344/1150 simplified to lowest terms is 672/575.

What is the GCD (GCF) of 1344 and 1150?

The Greatest Common Divisor (GCD) of 1344 and 1150 is 2.

What are equivalent fractions to 1344/1150?

Equivalent fractions to 1344/1150 include 1344/1150, 2016/1725, and 2688/2300.