What is 1472/3360 Simplified? (Reduce 1472/3360 to Lowest Terms: 46/105)

Exact Answer

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Problem: Simplify 1472/3360 to Lowest Terms
Formula / Expression: 1472/3360 = 46/105
Final Answer: 46/105
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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 1472: 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472
• Factors of 3360: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
Working: GCD(1472, 3360) = 32

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 32. Divide both the numerator (1472) and denominator (3360) by 32.
Working: 1472 ÷ 32/3360 ÷ 32 = 46/105

Key Values:
- Simplified Fraction: 46/105
- Mixed Number Form: 46/105
- Decimal Value: 0.438095
- Percentage: 43.8095%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1472-3360/
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1472/3360 = 46/105

Simplified Fraction

46/105

Mixed Number

Proper (46/105)

Decimal Value

0.438095

Percentage

43.8095%

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Step-by-Step Solution: 1472/3360 = 46/105

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1472: 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472
• Factors of 3360: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24

GCD(1472, 3360) = 32

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 32. Divide both the numerator (1472) and denominator (3360) by 32.

1472 ÷ 32/3360 ÷ 32 = 46/105

Visual Representation

The diagram below illustrates Simplify 1472/3360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`46/105`
Mixed Number Form	`46/105`
Decimal Form	`0.438095`
Percentage	`43.8095%`

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Frequently Asked Questions

What is 1472/3360 in simplest form?

1472/3360 simplified to lowest terms is 46/105.

What is the GCD (GCF) of 1472 and 3360?

The Greatest Common Divisor (GCD) of 1472 and 3360 is 32.

What are equivalent fractions to 1472/3360?

Equivalent fractions to 1472/3360 include 92/210, 138/315, and 184/420.