What is 1200/1050 Simplified? (Reduce 1200/1050 to Lowest Terms: 8/7)

Exact Answer

==================================================
Problem: Simplify 1200/1050 to Lowest Terms
Formula / Expression: 1200/1050 = 8/7
Final Answer: 1 1/7 (8/7)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1050: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70
Working: GCD(1200, 1050) = 150

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 150. Divide both the numerator (1200) and denominator (1050) by 150.
Working: 1200 ÷ 150/1050 ÷ 150 = 8/7

Step 3: Convert Improper Fraction to a Mixed Number
Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.
Working: 8/7 = 1 1/7

Key Values:
- Simplified Fraction: 8/7
- Mixed Number Form: 1 1/7
- Decimal Value: 1.142857
- Percentage: 114.2857%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-1050/
==================================================

1200/1050 = 8/7

Simplified Fraction

8/7

Mixed Number

1 1/7

Decimal Value

1.142857

Percentage

114.2857%

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: 1200/1050 = 8/7

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1050: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70

GCD(1200, 1050) = 150

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 150. Divide both the numerator (1200) and denominator (1050) by 150.

1200 ÷ 150/1050 ÷ 150 = 8/7

Step 3

Convert Improper Fraction to a Mixed Number

Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.

8/7 = 11/7

Visual Representation

The diagram below illustrates Simplify 1200/1050 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/7`
Mixed Number Form	`1 1/7`
Decimal Form	`1.142857`
Percentage	`114.2857%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1200/1050 in simplest form?

1200/1050 simplified to lowest terms is 8/7.

What is the GCD (GCF) of 1200 and 1050?

The Greatest Common Divisor (GCD) of 1200 and 1050 is 150.

What are equivalent fractions to 1200/1050?

Equivalent fractions to 1200/1050 include 16/14, 24/21, and 32/28.