What is 384/560 Simplified? (Reduce 384/560 to Lowest Terms: 24/35)

Exact Answer

384/560 = 24/35

Simplified Fraction

24/35

Mixed Number

Proper (24/35)

Decimal Value

0.685714

Percentage

68.5714%

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Step-by-Step Solution: 384/560 = 24/35

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
• Factors of 560: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80

GCD(384, 560) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (384) and denominator (560) by 16.

384 ÷ 16/560 ÷ 16 = 24/35

Visual Representation

The diagram below illustrates Simplify 384/560 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24/35`
Mixed Number Form	`24/35`
Decimal Form	`0.685714`
Percentage	`68.5714%`

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Frequently Asked Questions

What is 384/560 in simplest form?

384/560 simplified to lowest terms is 24/35.

What is the GCD (GCF) of 384 and 560?

The Greatest Common Divisor (GCD) of 384 and 560 is 16.

What are equivalent fractions to 384/560?

Equivalent fractions to 384/560 include 48/70, 72/105, and 96/140.