What is 48/78 Simplified? (Reduce 48/78 to Lowest Terms: 8/13)

Exact Answer

48/78 = 8/13

Simplified Fraction

8/13

Mixed Number

Proper (8/13)

Decimal Value

0.615385

Percentage

61.5385%

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Step-by-Step Solution: 48/78 = 8/13

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78

GCD(48, 78) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48) and denominator (78) by 6.

48 ÷ 6/78 ÷ 6 = 8/13

Visual Representation

The diagram below illustrates Simplify 48/78 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/13`
Mixed Number Form	`8/13`
Decimal Form	`0.615385`
Percentage	`61.5385%`

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Frequently Asked Questions

What is 48/78 in simplest form?

48/78 simplified to lowest terms is 8/13.

What is the GCD (GCF) of 48 and 78?

The Greatest Common Divisor (GCD) of 48 and 78 is 6.

What are equivalent fractions to 48/78?

Equivalent fractions to 48/78 include 16/26, 24/39, and 32/52.