What is 310/640 Simplified? (Reduce 310/640 to Lowest Terms: 31/64)

Exact Answer

310/640 = 31/64

Simplified Fraction

31/64

Mixed Number

Proper (31/64)

Decimal Value

0.484375

Percentage

48.4375%

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Step-by-Step Solution: 310/640 = 31/64

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 310: 1, 2, 5, 10, 31, 62, 155, 310
• Factors of 640: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD(310, 640) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (310) and denominator (640) by 10.

310 ÷ 10/640 ÷ 10 = 31/64

Visual Representation

The diagram below illustrates Simplify 310/640 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/64`
Mixed Number Form	`31/64`
Decimal Form	`0.484375`
Percentage	`48.4375%`

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Frequently Asked Questions

What is 310/640 in simplest form?

310/640 simplified to lowest terms is 31/64.

What is the GCD (GCF) of 310 and 640?

The Greatest Common Divisor (GCD) of 310 and 640 is 10.

What are equivalent fractions to 310/640?

Equivalent fractions to 310/640 include 62/128, 93/192, and 124/256.