Simplify 72/112 to Lowest Terms
72/112 simplified to its lowest terms is 9/14 (or 0.642857 in decimal). See how to reduce 72/112 using Greatest Common Divisor (GCD = 8).
Exact Answer
72/112 = 9/14
Simplified Fraction
9/14
Mixed Number
Proper (9/14)
Decimal Value
0.642857
Percentage
64.2857%
Step-by-Step Solution: 72/112 = 9/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 112:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 112:
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD(72, 112) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (72) and denominator (112) by 8.
72 ÷ 8/112 ÷ 8 = 9/14
Visual Representation
The diagram below illustrates Simplify 72/112 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/14 |
| Mixed Number Form | 9/14 |
| Decimal Form | 0.642857 |
| Percentage | 64.2857% |
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Frequently Asked Questions
What is 72/112 in simplest form?
72/112 simplified to lowest terms is 9/14.
What is the GCD (GCF) of 72 and 112?
The Greatest Common Divisor (GCD) of 72 and 112 is 8.
What are equivalent fractions to 72/112?
Equivalent fractions to 72/112 include 18/28, 27/42, and 36/56.