What is 744/1350 Simplified? (Reduce 744/1350 to Lowest Terms: 124/225)

Exact Answer

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Problem: Simplify 744/1350 to Lowest Terms
Formula / Expression: 744/1350 = 124/225
Final Answer: 124/225
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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 744: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
Working: GCD(744, 1350) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (744) and denominator (1350) by 6.
Working: 744 ÷ 6/1350 ÷ 6 = 124/225

Key Values:
- Simplified Fraction: 124/225
- Mixed Number Form: 124/225
- Decimal Value: 0.551111
- Percentage: 55.1111%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-744-1350/
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744/1350 = 124/225

Simplified Fraction

124/225

Mixed Number

Proper (124/225)

Decimal Value

0.551111

Percentage

55.1111%

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Step-by-Step Solution: 744/1350 = 124/225

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 744: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75

GCD(744, 1350) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (744) and denominator (1350) by 6.

744 ÷ 6/1350 ÷ 6 = 124/225

Visual Representation

The diagram below illustrates Simplify 744/1350 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`124/225`
Mixed Number Form	`124/225`
Decimal Form	`0.551111`
Percentage	`55.1111%`

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Frequently Asked Questions

What is 744/1350 in simplest form?

744/1350 simplified to lowest terms is 124/225.

What is the GCD (GCF) of 744 and 1350?

The Greatest Common Divisor (GCD) of 744 and 1350 is 6.

What are equivalent fractions to 744/1350?

Equivalent fractions to 744/1350 include 248/450, 372/675, and 496/900.