What is 72/46 Simplified? (Reduce 72/46 to Lowest Terms: 36/23)

Exact Answer

==================================================
Problem: Simplify 72/46 to Lowest Terms
Formula / Expression: 72/46 = 36/23
Final Answer: 1 13/23 (36/23)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 46: 1, 2, 23, 46
Working: GCD(72, 46) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (46) by 2.
Working: 72 ÷ 2/46 ÷ 2 = 36/23

Step 3: Convert Improper Fraction to a Mixed Number
Because 36 is larger than 23, 36/23 can also be written as the mixed number 1 13/23.
Working: 36/23 = 1 13/23

Key Values:
- Simplified Fraction: 36/23
- Mixed Number Form: 1 13/23
- Decimal Value: 1.565217
- Percentage: 156.5217%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-72-46/
==================================================

72/46 = 36/23

Simplified Fraction

36/23

Mixed Number

1 13/23

Decimal Value

1.565217

Percentage

156.5217%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

Switch to Proportion / Missing X Solver (A/B = C/D) →

Enter 3 known numbers and leave 1 empty (or type x) to solve:

← Switch to Ratio Simplifier (A:B)

Provide any 2 values below to calculate the remaining:

Price before discount

Discount

Price after discount

You saved

+ Add Sales Tax & Extra Coupon (Optional)

Sales Tax: % Extra Off: %

Provide any 2 values below to calculate the remaining:

Cost

Markup

REVENUE

Gross Profit

Profit Margin

Bill Subtotal

Tip Percentage

Split (People)

👥

Quick Tip:

Total Bill

Split Between

👥

Tip % (Optional)

Include Tip:

Total Price

Quantity

Unit of Measure

← Discount & Sales Tax • Ratio Simplifier (A:B) →

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

Number to Round: To Nearest:

Method: Standard (5+ ↑) Always Up (Ceil) Always Down (Floor)

Presets:

√ 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: 72/46 = 36/23

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 46: 1, 2, 23, 46

GCD(72, 46) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (46) by 2.

72 ÷ 2/46 ÷ 2 = 36/23

Step 3

Convert Improper Fraction to a Mixed Number

Because 36 is larger than 23, 36/23 can also be written as the mixed number 1 13/23.

36/23 = 113/23

Visual Representation

The diagram below illustrates Simplify 72/46 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`36/23`
Mixed Number Form	`1 13/23`
Decimal Form	`1.565217`
Percentage	`156.5217%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 72/46 in simplest form?

72/46 simplified to lowest terms is 36/23.

What is the GCD (GCF) of 72 and 46?

The Greatest Common Divisor (GCD) of 72 and 46 is 2.

What are equivalent fractions to 72/46?

Equivalent fractions to 72/46 include 72/46, 108/69, and 144/92.