What is 100/160 Simplified? (Reduce 100/160 to Lowest Terms: 5/8)

Exact Answer

100/160 = 5/8

Simplified Fraction

5/8

Mixed Number

Proper (5/8)

Decimal Value

0.625

Percentage

62.5%

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Step-by-Step Solution: 100/160 = 5/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD(100, 160) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (100) and denominator (160) by 20.

100 ÷ 20/160 ÷ 20 = 5/8

Visual Representation

The diagram below illustrates Simplify 100/160 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/8`
Mixed Number Form	`5/8`
Decimal Form	`0.625`
Percentage	`62.5%`

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Frequently Asked Questions

What is 100/160 in simplest form?

100/160 simplified to lowest terms is 5/8.

What is the GCD (GCF) of 100 and 160?

The Greatest Common Divisor (GCD) of 100 and 160 is 20.

What are equivalent fractions to 100/160?

Equivalent fractions to 100/160 include 10/16, 15/24, and 20/32.