What is 128/74 Simplified? (Reduce 128/74 to Lowest Terms: 64/37)

Exact Answer

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Problem: Simplify 128/74 to Lowest Terms
Formula / Expression: 128/74 = 64/37
Final Answer: 1 27/37 (64/37)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 128: 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 74: 1, 2, 37, 74
Working: GCD(128, 74) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (128) and denominator (74) by 2.
Working: 128 ÷ 2/74 ÷ 2 = 64/37

Step 3: Convert Improper Fraction to a Mixed Number
Because 64 is larger than 37, 64/37 can also be written as the mixed number 1 27/37.
Working: 64/37 = 1 27/37

Key Values:
- Simplified Fraction: 64/37
- Mixed Number Form: 1 27/37
- Decimal Value: 1.72973
- Percentage: 172.973%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-128-74/
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128/74 = 64/37

Simplified Fraction

64/37

Mixed Number

1 27/37

Decimal Value

1.72973

Percentage

172.973%

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Step-by-Step Solution: 128/74 = 64/37

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 128: 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 74: 1, 2, 37, 74

GCD(128, 74) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (128) and denominator (74) by 2.

128 ÷ 2/74 ÷ 2 = 64/37

Step 3

Convert Improper Fraction to a Mixed Number

Because 64 is larger than 37, 64/37 can also be written as the mixed number 1 27/37.

64/37 = 127/37

Visual Representation

The diagram below illustrates Simplify 128/74 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`64/37`
Mixed Number Form	`1 27/37`
Decimal Form	`1.72973`
Percentage	`172.973%`

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Frequently Asked Questions

What is 128/74 in simplest form?

128/74 simplified to lowest terms is 64/37.

What is the GCD (GCF) of 128 and 74?

The Greatest Common Divisor (GCD) of 128 and 74 is 2.

What are equivalent fractions to 128/74?

Equivalent fractions to 128/74 include 128/74, 192/111, and 256/148.