What is 74/60 Simplified? (Reduce 74/60 to Lowest Terms: 37/30)

Exact Answer

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Problem: Simplify 74/60 to Lowest Terms
Formula / Expression: 74/60 = 37/30
Final Answer: 1 7/30 (37/30)
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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 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Working: GCD(74, 60) = 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 (60) by 2.
Working: 74 ÷ 2/60 ÷ 2 = 37/30

Step 3: Convert Improper Fraction to a Mixed Number
Because 37 is larger than 30, 37/30 can also be written as the mixed number 1 7/30.
Working: 37/30 = 1 7/30

Key Values:
- Simplified Fraction: 37/30
- Mixed Number Form: 1 7/30
- Decimal Value: 1.233333
- Percentage: 123.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-74-60/
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74/60 = 37/30

Simplified Fraction

37/30

Mixed Number

1 7/30

Decimal Value

1.233333

Percentage

123.3333%

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Step-by-Step Solution: 74/60 = 37/30

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 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

GCD(74, 60) = 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 (60) by 2.

74 ÷ 2/60 ÷ 2 = 37/30

Step 3

Convert Improper Fraction to a Mixed Number

Because 37 is larger than 30, 37/30 can also be written as the mixed number 1 7/30.

37/30 = 17/30

Visual Representation

The diagram below illustrates Simplify 74/60 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/30`
Mixed Number Form	`1 7/30`
Decimal Form	`1.233333`
Percentage	`123.3333%`

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Frequently Asked Questions

What is 74/60 in simplest form?

74/60 simplified to lowest terms is 37/30.

What is the GCD (GCF) of 74 and 60?

The Greatest Common Divisor (GCD) of 74 and 60 is 2.

What are equivalent fractions to 74/60?

Equivalent fractions to 74/60 include 74/60, 111/90, and 148/120.