Simplify 40/128 to Lowest Terms
40/128 simplified to its lowest terms is 5/16 (or 0.3125 in decimal). See how to reduce 40/128 using Greatest Common Divisor (GCD = 8).
Exact Answer
40/128 = 5/16
Simplified Fraction
5/16
Mixed Number
Proper (5/16)
Decimal Value
0.3125
Percentage
31.25%
Step-by-Step Solution: 40/128 = 5/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 128:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 128:
1, 2, 4, 8, 16, 32, 64, 128
GCD(40, 128) = 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 (128) by 8.
40 ÷ 8/128 ÷ 8 = 5/16
Visual Representation
The diagram below illustrates Simplify 40/128 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/16 |
| Mixed Number Form | 5/16 |
| Decimal Form | 0.3125 |
| Percentage | 31.25% |
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Frequently Asked Questions
What is 40/128 in simplest form?
40/128 simplified to lowest terms is 5/16.
What is the GCD (GCF) of 40 and 128?
The Greatest Common Divisor (GCD) of 40 and 128 is 8.
What are equivalent fractions to 40/128?
Equivalent fractions to 40/128 include 10/32, 15/48, and 20/64.