What is 642/960 Simplified? (Reduce 642/960 to Lowest Terms: 107/160)

Exact Answer

642/960 = 107/160

Simplified Fraction

107/160

Mixed Number

Proper (107/160)

Decimal Value

0.66875

Percentage

66.875%

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Step-by-Step Solution: 642/960 = 107/160

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 642: 1, 2, 3, 6, 107, 214, 321, 642
• Factors of 960: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40

GCD(642, 960) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (642) and denominator (960) by 6.

642 ÷ 6/960 ÷ 6 = 107/160

Visual Representation

The diagram below illustrates Simplify 642/960 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`107/160`
Mixed Number Form	`107/160`
Decimal Form	`0.66875`
Percentage	`66.875%`

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Frequently Asked Questions

What is 642/960 in simplest form?

642/960 simplified to lowest terms is 107/160.

What is the GCD (GCF) of 642 and 960?

The Greatest Common Divisor (GCD) of 642 and 960 is 6.

What are equivalent fractions to 642/960?

Equivalent fractions to 642/960 include 214/320, 321/480, and 428/640.