Simplify 400/1120 to Lowest Terms
400/1120 simplified to its lowest terms is 5/14 (or 0.357143 in decimal). See how to reduce 400/1120 using Greatest Common Divisor (GCD = 80).
Exact Answer
400/1120 = 5/14
Simplified Fraction
5/14
Mixed Number
Proper (5/14)
Decimal Value
0.357143
Percentage
35.7143%
Step-by-Step Solution: 400/1120 = 5/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 400:
• Factors of 1120:
• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400• Factors of 1120:
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70
GCD(400, 1120) = 80
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 80. Divide both the numerator (400) and denominator (1120) by 80.
400 ÷ 80/1120 ÷ 80 = 5/14
Visual Representation
The diagram below illustrates Simplify 400/1120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/14 |
| Mixed Number Form | 5/14 |
| Decimal Form | 0.357143 |
| Percentage | 35.7143% |
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Frequently Asked Questions
What is 400/1120 in simplest form?
400/1120 simplified to lowest terms is 5/14.
What is the GCD (GCF) of 400 and 1120?
The Greatest Common Divisor (GCD) of 400 and 1120 is 80.
What are equivalent fractions to 400/1120?
Equivalent fractions to 400/1120 include 10/28, 15/42, and 20/56.