Simplify 42/72 to Lowest Terms
42/72 simplified to its lowest terms is 7/12 (or 0.583333 in decimal). See how to reduce 42/72 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/72 = 7/12
Simplified Fraction
7/12
Mixed Number
Proper (7/12)
Decimal Value
0.583333
Percentage
58.3333%
Step-by-Step Solution: 42/72 = 7/12
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 42:
โข Factors of 72:
โข Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42โข Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD(42, 72) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42) and denominator (72) by 6.
42 รท 6/72 รท 6 = 7/12
Visual Representation
The diagram below illustrates Simplify 42/72 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/12 |
| Mixed Number Form | 7/12 |
| Decimal Form | 0.583333 |
| Percentage | 58.3333% |
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Frequently Asked Questions
What is 42/72 in simplest form?
42/72 simplified to lowest terms is 7/12.
What is the GCD (GCF) of 42 and 72?
The Greatest Common Divisor (GCD) of 42 and 72 is 6.
What are equivalent fractions to 42/72?
Equivalent fractions to 42/72 include 14/24, 21/36, and 28/48.