Simplify 42/56 to Lowest Terms
42/56 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 42/56 using Greatest Common Divisor (GCD = 14).
Exact Answer
42/56 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 42/56 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 56:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 56:
1, 2, 4, 7, 8, 14, 28, 56
GCD(42, 56) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (42) and denominator (56) by 14.
42 ÷ 14/56 ÷ 14 = 3/4
Visual Representation
The diagram below illustrates Simplify 42/56 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 42/56 in simplest form?
42/56 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 42 and 56?
The Greatest Common Divisor (GCD) of 42 and 56 is 14.
What are equivalent fractions to 42/56?
Equivalent fractions to 42/56 include 6/8, 9/12, and 12/16.