What is 522/464 Simplified? (Reduce 522/464 to Lowest Terms: 9/8)

Exact Answer

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Problem: Simplify 522/464 to Lowest Terms
Formula / Expression: 522/464 = 9/8
Final Answer: 1 1/8 (9/8)
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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 522: 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
• Factors of 464: 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Working: GCD(522, 464) = 58

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 58. Divide both the numerator (522) and denominator (464) by 58.
Working: 522 ÷ 58/464 ÷ 58 = 9/8

Step 3: Convert Improper Fraction to a Mixed Number
Because 9 is larger than 8, 9/8 can also be written as the mixed number 1 1/8.
Working: 9/8 = 1 1/8

Key Values:
- Simplified Fraction: 9/8
- Mixed Number Form: 1 1/8
- Decimal Value: 1.125
- Percentage: 112.5%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-522-464/
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522/464 = 9/8

Simplified Fraction

9/8

Mixed Number

1 1/8

Decimal Value

1.125

Percentage

112.5%

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Step-by-Step Solution: 522/464 = 9/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 522: 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
• Factors of 464: 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD(522, 464) = 58

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 58. Divide both the numerator (522) and denominator (464) by 58.

522 ÷ 58/464 ÷ 58 = 9/8

Step 3

Convert Improper Fraction to a Mixed Number

Because 9 is larger than 8, 9/8 can also be written as the mixed number 1 1/8.

9/8 = 11/8

Visual Representation

The diagram below illustrates Simplify 522/464 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/8`
Mixed Number Form	`1 1/8`
Decimal Form	`1.125`
Percentage	`112.5%`

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Frequently Asked Questions

What is 522/464 in simplest form?

522/464 simplified to lowest terms is 9/8.

What is the GCD (GCF) of 522 and 464?

The Greatest Common Divisor (GCD) of 522 and 464 is 58.

What are equivalent fractions to 522/464?

Equivalent fractions to 522/464 include 18/16, 27/24, and 36/32.