What is 270/384 Simplified? (Reduce 270/384 to Lowest Terms: 45/64)

Exact Answer

270/384 = 45/64

Simplified Fraction

45/64

Mixed Number

Proper (45/64)

Decimal Value

0.703125

Percentage

70.3125%

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Step-by-Step Solution: 270/384 = 45/64

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD(270, 384) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (270) and denominator (384) by 6.

270 ÷ 6/384 ÷ 6 = 45/64

Visual Representation

The diagram below illustrates Simplify 270/384 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`45/64`
Mixed Number Form	`45/64`
Decimal Form	`0.703125`
Percentage	`70.3125%`

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Frequently Asked Questions

What is 270/384 in simplest form?

270/384 simplified to lowest terms is 45/64.

What is the GCD (GCF) of 270 and 384?

The Greatest Common Divisor (GCD) of 270 and 384 is 6.

What are equivalent fractions to 270/384?

Equivalent fractions to 270/384 include 90/128, 135/192, and 180/256.