What is 1042/480 Simplified? (Reduce 1042/480 to Lowest Terms: 521/240)

Exact Answer

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Problem: Simplify 1042/480 to Lowest Terms
Formula / Expression: 1042/480 = 521/240
Final Answer: 2 41/240 (521/240)
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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 1042: 1, 2, 521, 1042
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
Working: GCD(1042, 480) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1042) and denominator (480) by 2.
Working: 1042 ÷ 2/480 ÷ 2 = 521/240

Step 3: Convert Improper Fraction to a Mixed Number
Because 521 is larger than 240, 521/240 can also be written as the mixed number 2 41/240.
Working: 521/240 = 2 41/240

Key Values:
- Simplified Fraction: 521/240
- Mixed Number Form: 2 41/240
- Decimal Value: 2.170833
- Percentage: 217.0833%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1042-480/
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1042/480 = 521/240

Simplified Fraction

521/240

Mixed Number

2 41/240

Decimal Value

2.170833

Percentage

217.0833%

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Step-by-Step Solution: 1042/480 = 521/240

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1042: 1, 2, 521, 1042
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40

GCD(1042, 480) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1042) and denominator (480) by 2.

1042 ÷ 2/480 ÷ 2 = 521/240

Step 3

Convert Improper Fraction to a Mixed Number

Because 521 is larger than 240, 521/240 can also be written as the mixed number 2 41/240.

521/240 = 241/240

Visual Representation

The diagram below illustrates Simplify 1042/480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`521/240`
Mixed Number Form	`2 41/240`
Decimal Form	`2.170833`
Percentage	`217.0833%`

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Frequently Asked Questions

What is 1042/480 in simplest form?

1042/480 simplified to lowest terms is 521/240.

What is the GCD (GCF) of 1042 and 480?

The Greatest Common Divisor (GCD) of 1042 and 480 is 2.

What are equivalent fractions to 1042/480?

Equivalent fractions to 1042/480 include 1042/480, 1563/720, and 2084/960.