What is 1048/1440 Simplified? (Reduce 1048/1440 to Lowest Terms: 131/180)

Exact Answer

1048/1440 = 131/180

Simplified Fraction

131/180

Mixed Number

Proper (131/180)

Decimal Value

0.727778

Percentage

72.7778%

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Step-by-Step Solution: 1048/1440 = 131/180

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1048: 1, 2, 4, 8, 131, 262, 524, 1048
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(1048, 1440) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1048) and denominator (1440) by 8.

1048 ÷ 8/1440 ÷ 8 = 131/180

Visual Representation

The diagram below illustrates Simplify 1048/1440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`131/180`
Mixed Number Form	`131/180`
Decimal Form	`0.727778`
Percentage	`72.7778%`

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Frequently Asked Questions

What is 1048/1440 in simplest form?

1048/1440 simplified to lowest terms is 131/180.

What is the GCD (GCF) of 1048 and 1440?

The Greatest Common Divisor (GCD) of 1048 and 1440 is 8.

What are equivalent fractions to 1048/1440?

Equivalent fractions to 1048/1440 include 262/360, 393/540, and 524/720.