What is 64/120 Simplified? (Reduce 64/120 to Lowest Terms: 8/15)

Exact Answer

64/120 = 8/15

Simplified Fraction

8/15

Mixed Number

Proper (8/15)

Decimal Value

0.533333

Percentage

53.3333%

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Step-by-Step Solution: 64/120 = 8/15

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 64: 1, 2, 4, 8, 16, 32, 64
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD(64, 120) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (64) and denominator (120) by 8.

64 ÷ 8/120 ÷ 8 = 8/15

Visual Representation

The diagram below illustrates Simplify 64/120 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/15`
Mixed Number Form	`8/15`
Decimal Form	`0.533333`
Percentage	`53.3333%`

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Frequently Asked Questions

What is 64/120 in simplest form?

64/120 simplified to lowest terms is 8/15.

What is the GCD (GCF) of 64 and 120?

The Greatest Common Divisor (GCD) of 64 and 120 is 8.

What are equivalent fractions to 64/120?

Equivalent fractions to 64/120 include 16/30, 24/45, and 32/60.