What is 1480/1200 Simplified? (Reduce 1480/1200 to Lowest Terms: 37/30)

Exact Answer

==================================================
Problem: Simplify 1480/1200 to Lowest Terms
Formula / Expression: 1480/1200 = 37/30
Final Answer: 1 7/30 (37/30)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
Working: GCD(1480, 1200) = 40

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 40. Divide both the numerator (1480) and denominator (1200) by 40.
Working: 1480 ÷ 40/1200 ÷ 40 = 37/30

Step 3: Convert Improper Fraction to a Mixed Number
Because 37 is larger than 30, 37/30 can also be written as the mixed number 1 7/30.
Working: 37/30 = 1 7/30

Key Values:
- Simplified Fraction: 37/30
- Mixed Number Form: 1 7/30
- Decimal Value: 1.233333
- Percentage: 123.3333%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-1480-1200/
==================================================

1480/1200 = 37/30

Simplified Fraction

37/30

Mixed Number

1 7/30

Decimal Value

1.233333

Percentage

123.3333%

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: 1480/1200 = 37/30

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40

GCD(1480, 1200) = 40

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 40. Divide both the numerator (1480) and denominator (1200) by 40.

1480 ÷ 40/1200 ÷ 40 = 37/30

Step 3

Convert Improper Fraction to a Mixed Number

Because 37 is larger than 30, 37/30 can also be written as the mixed number 1 7/30.

37/30 = 17/30

Visual Representation

The diagram below illustrates Simplify 1480/1200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/30`
Mixed Number Form	`1 7/30`
Decimal Form	`1.233333`
Percentage	`123.3333%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1480/1200 in simplest form?

1480/1200 simplified to lowest terms is 37/30.

What is the GCD (GCF) of 1480 and 1200?

The Greatest Common Divisor (GCD) of 1480 and 1200 is 40.

What are equivalent fractions to 1480/1200?

Equivalent fractions to 1480/1200 include 74/60, 111/90, and 148/120.