What is 720/524 Simplified? (Reduce 720/524 to Lowest Terms: 180/131)

Exact Answer

==================================================
Problem: Simplify 720/524 to Lowest Terms
Formula / Expression: 720/524 = 180/131
Final Answer: 1 49/131 (180/131)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 524: 1, 2, 4, 131, 262, 524
Working: GCD(720, 524) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (720) and denominator (524) by 4.
Working: 720 ÷ 4/524 ÷ 4 = 180/131

Step 3: Convert Improper Fraction to a Mixed Number
Because 180 is larger than 131, 180/131 can also be written as the mixed number 1 49/131.
Working: 180/131 = 1 49/131

Key Values:
- Simplified Fraction: 180/131
- Mixed Number Form: 1 49/131
- Decimal Value: 1.374046
- Percentage: 137.4046%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-720-524/
==================================================

720/524 = 180/131

Simplified Fraction

180/131

Mixed Number

1 49/131

Decimal Value

1.374046

Percentage

137.4046%

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: 720/524 = 180/131

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 524: 1, 2, 4, 131, 262, 524

GCD(720, 524) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (720) and denominator (524) by 4.

720 ÷ 4/524 ÷ 4 = 180/131

Step 3

Convert Improper Fraction to a Mixed Number

Because 180 is larger than 131, 180/131 can also be written as the mixed number 1 49/131.

180/131 = 149/131

Visual Representation

The diagram below illustrates Simplify 720/524 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`180/131`
Mixed Number Form	`1 49/131`
Decimal Form	`1.374046`
Percentage	`137.4046%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 720/524 in simplest form?

720/524 simplified to lowest terms is 180/131.

What is the GCD (GCF) of 720 and 524?

The Greatest Common Divisor (GCD) of 720 and 524 is 4.

What are equivalent fractions to 720/524?

Equivalent fractions to 720/524 include 360/262, 540/393, and 720/524.