Simplify 28/40 to Lowest Terms
28/40 simplified to its lowest terms is 7/10 (or 0.7 in decimal). See how to reduce 28/40 using Greatest Common Divisor (GCD = 4).
Exact Answer
28/40 = 7/10
Simplified Fraction
7/10
Mixed Number
Proper (7/10)
Decimal Value
0.7
Percentage
70%
Step-by-Step Solution: 28/40 = 7/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 28:
• Factors of 40:
• Factors of 28:
1, 2, 4, 7, 14, 28• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
GCD(28, 40) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (28) and denominator (40) by 4.
28 ÷ 4/40 ÷ 4 = 7/10
Visual Representation
The diagram below illustrates Simplify 28/40 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/10 |
| Mixed Number Form | 7/10 |
| Decimal Form | 0.7 |
| Percentage | 70% |
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Frequently Asked Questions
What is 28/40 in simplest form?
28/40 simplified to lowest terms is 7/10.
What is the GCD (GCF) of 28 and 40?
The Greatest Common Divisor (GCD) of 28 and 40 is 4.
What are equivalent fractions to 28/40?
Equivalent fractions to 28/40 include 14/20, 21/30, and 28/40.