What is 524/960 Simplified? (Reduce 524/960 to Lowest Terms: 131/240)

Exact Answer

524/960 = 131/240

Simplified Fraction

131/240

Mixed Number

Proper (131/240)

Decimal Value

0.545833

Percentage

54.5833%

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Step-by-Step Solution: 524/960 = 131/240

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 524: 1, 2, 4, 131, 262, 524
• Factors of 960: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40

GCD(524, 960) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (524) and denominator (960) by 4.

524 ÷ 4/960 ÷ 4 = 131/240

Visual Representation

The diagram below illustrates Simplify 524/960 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`131/240`
Mixed Number Form	`131/240`
Decimal Form	`0.545833`
Percentage	`54.5833%`

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Frequently Asked Questions

What is 524/960 in simplest form?

524/960 simplified to lowest terms is 131/240.

What is the GCD (GCF) of 524 and 960?

The Greatest Common Divisor (GCD) of 524 and 960 is 4.

What are equivalent fractions to 524/960?

Equivalent fractions to 524/960 include 262/480, 393/720, and 524/960.