What is 48/114 Simplified? (Reduce 48/114 to Lowest Terms: 8/19)

Exact Answer

48/114 = 8/19

Simplified Fraction

8/19

Mixed Number

Proper (8/19)

Decimal Value

0.421053

Percentage

42.1053%

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Step-by-Step Solution: 48/114 = 8/19

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 114: 1, 2, 3, 6, 19, 38, 57, 114

GCD(48, 114) = 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 (114) by 6.

48 ÷ 6/114 ÷ 6 = 8/19

Visual Representation

The diagram below illustrates Simplify 48/114 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/19`
Mixed Number Form	`8/19`
Decimal Form	`0.421053`
Percentage	`42.1053%`

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Frequently Asked Questions

What is 48/114 in simplest form?

48/114 simplified to lowest terms is 8/19.

What is the GCD (GCF) of 48 and 114?

The Greatest Common Divisor (GCD) of 48 and 114 is 6.

What are equivalent fractions to 48/114?

Equivalent fractions to 48/114 include 16/38, 24/57, and 32/76.