What is 740/1680 Simplified? (Reduce 740/1680 to Lowest Terms: 37/84)

Exact Answer

740/1680 = 37/84

Simplified Fraction

37/84

Mixed Number

Proper (37/84)

Decimal Value

0.440476

Percentage

44.0476%

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Step-by-Step Solution: 740/1680 = 37/84

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 740: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
• Factors of 1680: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24

GCD(740, 1680) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (740) and denominator (1680) by 20.

740 ÷ 20/1680 ÷ 20 = 37/84

Visual Representation

The diagram below illustrates Simplify 740/1680 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/84`
Mixed Number Form	`37/84`
Decimal Form	`0.440476`
Percentage	`44.0476%`

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Frequently Asked Questions

What is 740/1680 in simplest form?

740/1680 simplified to lowest terms is 37/84.

What is the GCD (GCF) of 740 and 1680?

The Greatest Common Divisor (GCD) of 740 and 1680 is 20.

What are equivalent fractions to 740/1680?

Equivalent fractions to 740/1680 include 74/168, 111/252, and 148/336.