Simplify 70/400 to Lowest Terms
70/400 simplified to its lowest terms is 7/40 (or 0.175 in decimal). See how to reduce 70/400 using Greatest Common Divisor (GCD = 10).
Exact Answer
70/400 = 7/40
Simplified Fraction
7/40
Mixed Number
Proper (7/40)
Decimal Value
0.175
Percentage
17.5%
Step-by-Step Solution: 70/400 = 7/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 70:
• Factors of 400:
• Factors of 70:
1, 2, 5, 7, 10, 14, 35, 70• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(70, 400) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (70) and denominator (400) by 10.
70 ÷ 10/400 ÷ 10 = 7/40
Visual Representation
The diagram below illustrates Simplify 70/400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/40 |
| Mixed Number Form | 7/40 |
| Decimal Form | 0.175 |
| Percentage | 17.5% |
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Frequently Asked Questions
What is 70/400 in simplest form?
70/400 simplified to lowest terms is 7/40.
What is the GCD (GCF) of 70 and 400?
The Greatest Common Divisor (GCD) of 70 and 400 is 10.
What are equivalent fractions to 70/400?
Equivalent fractions to 70/400 include 14/80, 21/120, and 28/160.