What is 74/64 Simplified? (Reduce 74/64 to Lowest Terms: 37/32)

Exact Answer

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Problem: Simplify 74/64 to Lowest Terms
Formula / Expression: 74/64 = 37/32
Final Answer: 1 5/32 (37/32)
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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 74: 1, 2, 37, 74
• Factors of 64: 1, 2, 4, 8, 16, 32, 64
Working: GCD(74, 64) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (64) by 2.
Working: 74 ÷ 2/64 ÷ 2 = 37/32

Step 3: Convert Improper Fraction to a Mixed Number
Because 37 is larger than 32, 37/32 can also be written as the mixed number 1 5/32.
Working: 37/32 = 1 5/32

Key Values:
- Simplified Fraction: 37/32
- Mixed Number Form: 1 5/32
- Decimal Value: 1.15625
- Percentage: 115.625%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-74-64/
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74/64 = 37/32

Simplified Fraction

37/32

Mixed Number

1 5/32

Decimal Value

1.15625

Percentage

115.625%

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Step-by-Step Solution: 74/64 = 37/32

Step 1

Find the Factors of the Numerator and Denominator

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

GCD(74, 64) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (64) by 2.

74 ÷ 2/64 ÷ 2 = 37/32

Step 3

Convert Improper Fraction to a Mixed Number

Because 37 is larger than 32, 37/32 can also be written as the mixed number 1 5/32.

37/32 = 15/32

Visual Representation

The diagram below illustrates Simplify 74/64 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/32`
Mixed Number Form	`1 5/32`
Decimal Form	`1.15625`
Percentage	`115.625%`

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Frequently Asked Questions

What is 74/64 in simplest form?

74/64 simplified to lowest terms is 37/32.

What is the GCD (GCF) of 74 and 64?

The Greatest Common Divisor (GCD) of 74 and 64 is 2.

What are equivalent fractions to 74/64?

Equivalent fractions to 74/64 include 74/64, 111/96, and 148/128.