Simplify 40/112 to Lowest Terms
40/112 simplified to its lowest terms is 5/14 (or 0.357143 in decimal). See how to reduce 40/112 using Greatest Common Divisor (GCD = 8).
Exact Answer
40/112 = 5/14
Simplified Fraction
5/14
Mixed Number
Proper (5/14)
Decimal Value
0.357143
Percentage
35.7143%
Step-by-Step Solution: 40/112 = 5/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 112:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 112:
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD(40, 112) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (40) and denominator (112) by 8.
40 ÷ 8/112 ÷ 8 = 5/14
Visual Representation
The diagram below illustrates Simplify 40/112 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 40/112 in simplest form?
40/112 simplified to lowest terms is 5/14.
What is the GCD (GCF) of 40 and 112?
The Greatest Common Divisor (GCD) of 40 and 112 is 8.
What are equivalent fractions to 40/112?
Equivalent fractions to 40/112 include 10/28, 15/42, and 20/56.