Simplify 7480/5950 to Lowest Terms
7480/5950 simplified to its lowest terms is 44/35 (or 1.257143 in decimal). See how to reduce 7480/5950 using Greatest Common Divisor (GCD = 170).
Exact Answer
7480/5950 = 44/35
Simplified Fraction
44/35
Mixed Number
1 9/35
Decimal Value
1.257143
Percentage
125.7143%
Step-by-Step Solution: 7480/5950 = 44/35
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 7480:
• Factors of 5950:
• Factors of 7480:
1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85• Factors of 5950:
1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175
GCD(7480, 5950) = 170
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 170. Divide both the numerator (7480) and denominator (5950) by 170.
7480 ÷ 170/5950 ÷ 170 = 44/35
Step 3
Convert Improper Fraction to a Mixed Number
Because 44 is larger than 35, 44/35 can also be written as the mixed number 1 9/35.
44/35 = 19/35
Visual Representation
The diagram below illustrates Simplify 7480/5950 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 44/35 |
| Mixed Number Form | 1 9/35 |
| Decimal Form | 1.257143 |
| Percentage | 125.7143% |
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Frequently Asked Questions
What is 7480/5950 in simplest form?
7480/5950 simplified to lowest terms is 44/35.
What is the GCD (GCF) of 7480 and 5950?
The Greatest Common Divisor (GCD) of 7480 and 5950 is 170.
What are equivalent fractions to 7480/5950?
Equivalent fractions to 7480/5950 include 88/70, 132/105, and 176/140.