What is 378/840 Simplified? (Reduce 378/840 to Lowest Terms: 9/20)

Exact Answer

378/840 = 9/20

Simplified Fraction

9/20

Mixed Number

Proper (9/20)

Decimal Value

0.45

Percentage

45%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 378/840 = 9/20

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
• Factors of 840: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28

GCD(378, 840) = 42

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 42. Divide both the numerator (378) and denominator (840) by 42.

378 ÷ 42/840 ÷ 42 = 9/20

Visual Representation

The diagram below illustrates Simplify 378/840 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/20`
Mixed Number Form	`9/20`
Decimal Form	`0.45`
Percentage	`45%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 378/840 in simplest form?

378/840 simplified to lowest terms is 9/20.

What is the GCD (GCF) of 378 and 840?

The Greatest Common Divisor (GCD) of 378 and 840 is 42.

What are equivalent fractions to 378/840?

Equivalent fractions to 378/840 include 18/40, 27/60, and 36/80.