Simplify 242/416 to Lowest Terms
242/416 simplified to its lowest terms is 121/208 (or 0.581731 in decimal). See how to reduce 242/416 using Greatest Common Divisor (GCD = 2).
Exact Answer
242/416 = 121/208
Simplified Fraction
121/208
Mixed Number
Proper (121/208)
Decimal Value
0.581731
Percentage
58.1731%
Step-by-Step Solution: 242/416 = 121/208
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 242:
โข Factors of 416:
โข Factors of 242:
1, 2, 11, 22, 121, 242โข Factors of 416:
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD(242, 416) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (242) and denominator (416) by 2.
242 รท 2/416 รท 2 = 121/208
Visual Representation
The diagram below illustrates Simplify 242/416 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 121/208 |
| Mixed Number Form | 121/208 |
| Decimal Form | 0.581731 |
| Percentage | 58.1731% |
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Frequently Asked Questions
What is 242/416 in simplest form?
242/416 simplified to lowest terms is 121/208.
What is the GCD (GCF) of 242 and 416?
The Greatest Common Divisor (GCD) of 242 and 416 is 2.
What are equivalent fractions to 242/416?
Equivalent fractions to 242/416 include 242/416, 363/624, and 484/832.