Simplify 1072/1150 to Lowest Terms
1072/1150 simplified to its lowest terms is 536/575 (or 0.932174 in decimal). See how to reduce 1072/1150 using Greatest Common Divisor (GCD = 2).
Exact Answer
1072/1150 = 536/575
Simplified Fraction
536/575
Mixed Number
Proper (536/575)
Decimal Value
0.932174
Percentage
93.2174%
Step-by-Step Solution: 1072/1150 = 536/575
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1072:
• Factors of 1150:
• Factors of 1072:
1, 2, 4, 8, 16, 67, 134, 268, 536, 1072• Factors of 1150:
1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
GCD(1072, 1150) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1072) and denominator (1150) by 2.
1072 ÷ 2/1150 ÷ 2 = 536/575
Visual Representation
The diagram below illustrates Simplify 1072/1150 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 536/575 |
| Mixed Number Form | 536/575 |
| Decimal Form | 0.932174 |
| Percentage | 93.2174% |
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Frequently Asked Questions
What is 1072/1150 in simplest form?
1072/1150 simplified to lowest terms is 536/575.
What is the GCD (GCF) of 1072 and 1150?
The Greatest Common Divisor (GCD) of 1072 and 1150 is 2.
What are equivalent fractions to 1072/1150?
Equivalent fractions to 1072/1150 include 1072/1150, 1608/1725, and 2144/2300.