What is 6/36 plus 7/21? (Answer: 1/2)

Exact Answer

==================================================
Problem: What is 6/36 plus 7/21?
Formula / Expression: 6/36 + 7/21
Final Answer: 1/2
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 36 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 252 (which is smaller than their product 36 × 21 = 756, keeping the calculation simpler).
Working: LCD(36, 21) = 252

Step 2: Convert to Equivalent Fractions with Common Denominator 252
Multiply the numerator and denominator of 6/36 by 7, and multiply the numerator and denominator of 7/21 by 12 so both fractions share the common base 252.
Working: 6 × 7/36 × 7 = 42/252 and 7 × 12/21 × 12 = 84/252

Step 3: Add the Numerators
Now add the numerators (42 + 84 = 126) and keep the common denominator 252 unchanged.
Working: 42 + 84/252 = 126/252

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 126 and 252, which is 126. Divide both the numerator and denominator by 126.
Working: 126 ÷ 126/252 ÷ 126 = 1/2

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).
Working: 1 ÷ 2 = 0.5 (50%)

Key Values:
- Simplified Fraction: 1/2
- Mixed Number Form: 1/2
- Decimal Value: 0.5
- Percentage: 50%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-6-36-plus-7-21/
==================================================

6/36 + 7/21 = 1/2

Simplified Fraction

1/2

Mixed Number

Proper (1/2)

Decimal Value

0.5

Percentage

50%

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: 6/36 + 7/21

Step 1

Find the Least Common Denominator (LCD)

The denominators 36 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 252 (which is smaller than their product 36 × 21 = 756, keeping the calculation simpler).

LCD(36, 21) = 252

Step 2

Convert to Equivalent Fractions with Common Denominator 252

Multiply the numerator and denominator of 6/36 by 7, and multiply the numerator and denominator of 7/21 by 12 so both fractions share the common base 252.

6 × 7/36 × 7 = 42/252 and 7 × 12/21 × 12 = 84/252

Step 3

Add the Numerators

Now add the numerators (42 + 84 = 126) and keep the common denominator 252 unchanged.

42 + 84/252 = 126/252

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 126 and 252, which is 126. Divide both the numerator and denominator by 126.

126 ÷ 126/252 ÷ 126 = 1/2

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).

1 ÷ 2 = 0.5 (50%)

Visual Representation

The diagram below illustrates 6/36 plus 7/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/2`
Mixed Number Form	`1/2`
Decimal Form	`0.5`
Percentage	`50%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 6/36 plus 7/21 as a fraction?

6/36 + 7/21 in simplest fraction form is 1/2.

What is 6/36 plus 7/21 as a decimal?

6/36 + 7/21 converted to a decimal is 0.5.

What is 6/36 plus 7/21 as a percentage?

6/36 + 7/21 expressed as a percentage is 50%.

Does 6/36 plus 7/21 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.5) because the denominator in simplest terms contains only prime factors 2 and/or 5.