What is 12/60 plus 9/21? (Answer: 22/35)

Exact Answer

==================================================
Problem: What is 12/60 plus 9/21?
Formula / Expression: 12/60 + 9/21
Final Answer: 22/35
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 60 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 420 (which is smaller than their product 60 × 21 = 1260, keeping the calculation simpler).
Working: LCD(60, 21) = 420

Step 2: Convert to Equivalent Fractions with Common Denominator 420
Multiply the numerator and denominator of 12/60 by 7, and multiply the numerator and denominator of 9/21 by 20 so both fractions share the common base 420.
Working: 12 × 7/60 × 7 = 84/420 and 9 × 20/21 × 20 = 180/420

Step 3: Add the Numerators
Now add the numerators (84 + 180 = 264) and keep the common denominator 420 unchanged.
Working: 84 + 180/420 = 264/420

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 264 and 420, which is 12. Divide both the numerator and denominator by 12.
Working: 264 ÷ 12/420 ÷ 12 = 22/35

Step 5: Decimal & Percentage Representation
Dividing the numerator 22 by denominator 35 produces a repeating decimal (approximately 0.628571, or 62.8571%).
Working: 22 ÷ 35 = 0.628571 (62.8571%)

Key Values:
- Simplified Fraction: 22/35
- Mixed Number Form: 22/35
- Decimal Value: 0.628571
- Percentage: 62.8571%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-12-60-plus-9-21/
==================================================

12/60 + 9/21 = 22/35

Simplified Fraction

22/35

Mixed Number

Proper (22/35)

Decimal Value

0.628571

Percentage

62.8571%

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: 12/60 + 9/21

Step 1

Find the Least Common Denominator (LCD)

The denominators 60 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 420 (which is smaller than their product 60 × 21 = 1260, keeping the calculation simpler).

LCD(60, 21) = 420

Step 2

Convert to Equivalent Fractions with Common Denominator 420

Multiply the numerator and denominator of 12/60 by 7, and multiply the numerator and denominator of 9/21 by 20 so both fractions share the common base 420.

12 × 7/60 × 7 = 84/420 and 9 × 20/21 × 20 = 180/420

Step 3

Add the Numerators

Now add the numerators (84 + 180 = 264) and keep the common denominator 420 unchanged.

84 + 180/420 = 264/420

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 264 and 420, which is 12. Divide both the numerator and denominator by 12.

264 ÷ 12/420 ÷ 12 = 22/35

Step 5

Decimal & Percentage Representation

Dividing the numerator 22 by denominator 35 produces a repeating decimal (approximately 0.628571, or 62.8571%).

22 ÷ 35 = 0.628571 (62.8571%)

Visual Representation

The diagram below illustrates 12/60 plus 9/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`22/35`
Mixed Number Form	`22/35`
Decimal Form	`0.628571`
Percentage	`62.8571%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 12/60 plus 9/21 as a fraction?

12/60 + 9/21 in simplest fraction form is 22/35.

What is 12/60 plus 9/21 as a decimal?

12/60 + 9/21 converted to a decimal is 0.628571.

What is 12/60 plus 9/21 as a percentage?

12/60 + 9/21 expressed as a percentage is 62.8571%.

Does 12/60 plus 9/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.628571...) because the denominator contains prime factors other than 2 and 5.