Popular: 1/2 + 3/4 20% of 150 GCF(12, 18) 100 ÷ 7 √144 Circle r=7 sin(30°) 255 in Binary
Exact Answer
100/400 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Reduce / Convert Fraction:

Step-by-Step Solution: 100/400 = 1/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(100, 400) = 100
Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 100. Divide both the numerator (100) and denominator (400) by 100.
100 ÷ 100/400 ÷ 100 = 1/4

Visual Representation

The diagram below illustrates Simplify 100/400 visually:

100/400 = 1/4¼¼¼¼1 of 4 parts shadedValue: 0.25 (25%)

Summary & Alternative Representations

Property / FormatValue
Lowest Terms Fraction1/4
Mixed Number Form1/4
Decimal Form0.25
Percentage25%

Frequently Asked Questions

What is 100/400 in simplest form?

100/400 simplified to lowest terms is 1/4.

What is the GCD (GCF) of 100 and 400?

The Greatest Common Divisor (GCD) of 100 and 400 is 100.

What are equivalent fractions to 100/400?

Equivalent fractions to 100/400 include 2/8, 3/12, and 4/16.