What is 742/1680 Simplified? (Reduce 742/1680 to Lowest Terms: 53/120)

Exact Answer

742/1680 = 53/120

Simplified Fraction

53/120

Mixed Number

Proper (53/120)

Decimal Value

0.441667

Percentage

44.1667%

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Step-by-Step Solution: 742/1680 = 53/120

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742
• Factors of 1680: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24

GCD(742, 1680) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (742) and denominator (1680) by 14.

742 ÷ 14/1680 ÷ 14 = 53/120

Visual Representation

The diagram below illustrates Simplify 742/1680 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`53/120`
Mixed Number Form	`53/120`
Decimal Form	`0.441667`
Percentage	`44.1667%`

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Frequently Asked Questions

What is 742/1680 in simplest form?

742/1680 simplified to lowest terms is 53/120.

What is the GCD (GCF) of 742 and 1680?

The Greatest Common Divisor (GCD) of 742 and 1680 is 14.

What are equivalent fractions to 742/1680?

Equivalent fractions to 742/1680 include 106/240, 159/360, and 212/480.