What is 1070/1440 Simplified? (Reduce 1070/1440 to Lowest Terms: 107/144)

Exact Answer

1070/1440 = 107/144

Simplified Fraction

107/144

Mixed Number

Proper (107/144)

Decimal Value

0.743056

Percentage

74.3056%

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Step-by-Step Solution: 1070/1440 = 107/144

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1070: 1, 2, 5, 10, 107, 214, 535, 1070
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(1070, 1440) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1070) and denominator (1440) by 10.

1070 ÷ 10/1440 ÷ 10 = 107/144

Visual Representation

The diagram below illustrates Simplify 1070/1440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`107/144`
Mixed Number Form	`107/144`
Decimal Form	`0.743056`
Percentage	`74.3056%`

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Frequently Asked Questions

What is 1070/1440 in simplest form?

1070/1440 simplified to lowest terms is 107/144.

What is the GCD (GCF) of 1070 and 1440?

The Greatest Common Divisor (GCD) of 1070 and 1440 is 10.

What are equivalent fractions to 1070/1440?

Equivalent fractions to 1070/1440 include 214/288, 321/432, and 428/576.