What is 10/20 plus 2/3? (Answer: 7/6)

Exact Answer

==================================================
Problem: What is 10/20 plus 2/3?
Formula / Expression: 10/20 + 2/3
Final Answer: 1 1/6 (7/6)
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 20 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 20 × 3 = 60.
Working: LCD(20, 3) = 60

Step 2: Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 10/20 by 3, and multiply the numerator and denominator of 2/3 by 20 so both fractions share the common base 60.
Working: 10 × 3/20 × 3 = 30/60 and 2 × 20/3 × 20 = 40/60

Step 3: Add the Numerators
Now add the numerators (30 + 40 = 70) and keep the common denominator 60 unchanged.
Working: 30 + 40/60 = 70/60

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 70 and 60, which is 10. Divide both the numerator and denominator by 10.
Working: 70 ÷ 10/60 ÷ 10 = 7/6

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.
Working: 7/6 = 1 1/6

Step 6: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).
Working: 7 ÷ 6 = 1.166667 (116.6667%)

Key Values:
- Simplified Fraction: 7/6
- Mixed Number Form: 1 1/6
- Decimal Value: 1.166667
- Percentage: 116.6667%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-10-20-plus-2-3/
==================================================

10/20 + 2/3 = 7/6

Simplified Fraction

7/6

Mixed Number

1 1/6

Decimal Value

1.166667

Percentage

116.6667%

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: 10/20 + 2/3

Step 1

Find the Least Common Denominator (LCD)

The denominators 20 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 20 × 3 = 60.

LCD(20, 3) = 60

Step 2

Convert to Equivalent Fractions with Common Denominator 60

Multiply the numerator and denominator of 10/20 by 3, and multiply the numerator and denominator of 2/3 by 20 so both fractions share the common base 60.

10 × 3/20 × 3 = 30/60 and 2 × 20/3 × 20 = 40/60

Step 3

Add the Numerators

Now add the numerators (30 + 40 = 70) and keep the common denominator 60 unchanged.

30 + 40/60 = 70/60

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 70 and 60, which is 10. Divide both the numerator and denominator by 10.

70 ÷ 10/60 ÷ 10 = 7/6

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.

7/6 = 11/6

Step 6

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).

7 ÷ 6 = 1.166667 (116.6667%)

Visual Representation

The diagram below illustrates 10/20 plus 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/6`
Mixed Number Form	`1 1/6`
Decimal Form	`1.166667`
Percentage	`116.6667%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 10/20 plus 2/3 as a fraction?

10/20 + 2/3 in simplest fraction form is 7/6 (or 1 1/6 as a mixed number).

What is 10/20 plus 2/3 as a decimal?

10/20 + 2/3 converted to a decimal is 1.166667.

What is 10/20 plus 2/3 as a percentage?

10/20 + 2/3 expressed as a percentage is 116.6667%.

How do you write 10/20 plus 2/3 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 7/6 can be written as the mixed number 1 1/6.

Does 10/20 plus 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.166667...) because the denominator contains prime factors other than 2 and 5.