Simplify 40/148 to Lowest Terms
40/148 simplified to its lowest terms is 10/37 (or 0.27027 in decimal). See how to reduce 40/148 using Greatest Common Divisor (GCD = 4).
Exact Answer
40/148 = 10/37
Simplified Fraction
10/37
Mixed Number
Proper (10/37)
Decimal Value
0.27027
Percentage
27.027%
Step-by-Step Solution: 40/148 = 10/37
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 148:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 148:
1, 2, 4, 37, 74, 148
GCD(40, 148) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (40) and denominator (148) by 4.
40 ÷ 4/148 ÷ 4 = 10/37
Visual Representation
The diagram below illustrates Simplify 40/148 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 10/37 |
| Mixed Number Form | 10/37 |
| Decimal Form | 0.27027 |
| Percentage | 27.027% |
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Frequently Asked Questions
What is 40/148 in simplest form?
40/148 simplified to lowest terms is 10/37.
What is the GCD (GCF) of 40 and 148?
The Greatest Common Divisor (GCD) of 40 and 148 is 4.
What are equivalent fractions to 40/148?
Equivalent fractions to 40/148 include 20/74, 30/111, and 40/148.