Simplify 40/56 to Lowest Terms
40/56 simplified to its lowest terms is 5/7 (or 0.714286 in decimal). See how to reduce 40/56 using Greatest Common Divisor (GCD = 8).
Exact Answer
40/56 = 5/7
Simplified Fraction
5/7
Mixed Number
Proper (5/7)
Decimal Value
0.714286
Percentage
71.4286%
Step-by-Step Solution: 40/56 = 5/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 56:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 56:
1, 2, 4, 7, 8, 14, 28, 56
GCD(40, 56) = 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 (56) by 8.
40 ÷ 8/56 ÷ 8 = 5/7
Visual Representation
The diagram below illustrates Simplify 40/56 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/7 |
| Mixed Number Form | 5/7 |
| Decimal Form | 0.714286 |
| Percentage | 71.4286% |
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Frequently Asked Questions
What is 40/56 in simplest form?
40/56 simplified to lowest terms is 5/7.
What is the GCD (GCF) of 40 and 56?
The Greatest Common Divisor (GCD) of 40 and 56 is 8.
What are equivalent fractions to 40/56?
Equivalent fractions to 40/56 include 10/14, 15/21, and 20/28.