Simplify 35/49 to Lowest Terms
35/49 simplified to its lowest terms is 5/7 (or 0.714286 in decimal). See how to reduce 35/49 using Greatest Common Divisor (GCD = 7).
Exact Answer
35/49 = 5/7
Simplified Fraction
5/7
Mixed Number
Proper (5/7)
Decimal Value
0.714286
Percentage
71.4286%
Step-by-Step Solution: 35/49 = 5/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 35:
• Factors of 49:
• Factors of 35:
1, 5, 7, 35• Factors of 49:
1, 7, 49
GCD(35, 49) = 7
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 7. Divide both the numerator (35) and denominator (49) by 7.
35 ÷ 7/49 ÷ 7 = 5/7
Visual Representation
The diagram below illustrates Simplify 35/49 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 35/49 in simplest form?
35/49 simplified to lowest terms is 5/7.
What is the GCD (GCF) of 35 and 49?
The Greatest Common Divisor (GCD) of 35 and 49 is 7.
What are equivalent fractions to 35/49?
Equivalent fractions to 35/49 include 10/14, 15/21, and 20/28.