What is 48072/44742 Simplified? (Reduce 48072/44742 to Lowest Terms: 8012/7457)

Exact Answer

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Problem: Simplify 48072/44742 to Lowest Terms
Formula / Expression: 48072/44742 = 8012/7457
Final Answer: 1 555/7457 (8012/7457)
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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 48072: 1, 2, 3, 4, 6, 8, 12, 24, 2003, 4006, 6009, 8012, 12018, 16024, 24036, 48072
• Factors of 44742: 1, 2, 3, 6, 7457, 14914, 22371, 44742
Working: GCD(48072, 44742) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48072) and denominator (44742) by 6.
Working: 48072 ÷ 6/44742 ÷ 6 = 8012/7457

Step 3: Convert Improper Fraction to a Mixed Number
Because 8012 is larger than 7457, 8012/7457 can also be written as the mixed number 1 555/7457.
Working: 8012/7457 = 1 555/7457

Key Values:
- Simplified Fraction: 8012/7457
- Mixed Number Form: 1 555/7457
- Decimal Value: 1.074427
- Percentage: 107.4427%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-48072-44742/
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48072/44742 = 8012/7457

Simplified Fraction

8012/7457

Mixed Number

1 555/7457

Decimal Value

1.074427

Percentage

107.4427%

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Step-by-Step Solution: 48072/44742 = 8012/7457

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 48072: 1, 2, 3, 4, 6, 8, 12, 24, 2003, 4006, 6009, 8012, 12018, 16024, 24036, 48072
• Factors of 44742: 1, 2, 3, 6, 7457, 14914, 22371, 44742

GCD(48072, 44742) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48072) and denominator (44742) by 6.

48072 ÷ 6/44742 ÷ 6 = 8012/7457

Step 3

Convert Improper Fraction to a Mixed Number

Because 8012 is larger than 7457, 8012/7457 can also be written as the mixed number 1 555/7457.

8012/7457 = 1555/7457

Visual Representation

The diagram below illustrates Simplify 48072/44742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8012/7457`
Mixed Number Form	`1 555/7457`
Decimal Form	`1.074427`
Percentage	`107.4427%`

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Frequently Asked Questions

What is 48072/44742 in simplest form?

48072/44742 simplified to lowest terms is 8012/7457.

What is the GCD (GCF) of 48072 and 44742?

The Greatest Common Divisor (GCD) of 48072 and 44742 is 6.

What are equivalent fractions to 48072/44742?

Equivalent fractions to 48072/44742 include 16024/14914, 24036/22371, and 32048/29828.