What is 130/120 Simplified? (Reduce 130/120 to Lowest Terms: 13/12)

Exact Answer

==================================================
Problem: Simplify 130/120 to Lowest Terms
Formula / Expression: 130/120 = 13/12
Final Answer: 1 1/12 (13/12)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Working: GCD(130, 120) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (130) and denominator (120) by 10.
Working: 130 ÷ 10/120 ÷ 10 = 13/12

Step 3: Convert Improper Fraction to a Mixed Number
Because 13 is larger than 12, 13/12 can also be written as the mixed number 1 1/12.
Working: 13/12 = 1 1/12

Key Values:
- Simplified Fraction: 13/12
- Mixed Number Form: 1 1/12
- Decimal Value: 1.083333
- Percentage: 108.3333%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-130-120/
==================================================

130/120 = 13/12

Simplified Fraction

13/12

Mixed Number

1 1/12

Decimal Value

1.083333

Percentage

108.3333%

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: 130/120 = 13/12

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD(130, 120) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (130) and denominator (120) by 10.

130 ÷ 10/120 ÷ 10 = 13/12

Step 3

Convert Improper Fraction to a Mixed Number

Because 13 is larger than 12, 13/12 can also be written as the mixed number 1 1/12.

13/12 = 11/12

Visual Representation

The diagram below illustrates Simplify 130/120 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/12`
Mixed Number Form	`1 1/12`
Decimal Form	`1.083333`
Percentage	`108.3333%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 130/120 in simplest form?

130/120 simplified to lowest terms is 13/12.

What is the GCD (GCF) of 130 and 120?

The Greatest Common Divisor (GCD) of 130 and 120 is 10.

What are equivalent fractions to 130/120?

Equivalent fractions to 130/120 include 26/24, 39/36, and 52/48.