What is 2/6 plus 9/16? (Answer: 43/48)

Exact Answer

==================================================
Problem: What is 2/6 plus 9/16?
Formula / Expression: 2/6 + 9/16
Final Answer: 43/48
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 6 and 16 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 48 (which is smaller than their product 6 × 16 = 96, keeping the calculation simpler).
Working: LCD(6, 16) = 48

Step 2: Convert to Equivalent Fractions with Common Denominator 48
Multiply the numerator and denominator of 2/6 by 8, and multiply the numerator and denominator of 9/16 by 3 so both fractions share the common base 48.
Working: 2 × 8/6 × 8 = 16/48 and 9 × 3/16 × 3 = 27/48

Step 3: Add the Numerators
Now add the numerators (16 + 27 = 43) and keep the common denominator 48 unchanged.
Working: 16 + 27/48 = 43/48

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 43 and 48 is 1, confirming that 43/48 cannot be reduced further—it is already in its simplest irreducible form.
Working: 43/48

Step 5: Decimal & Percentage Representation
Dividing the numerator 43 by denominator 48 produces a repeating decimal (approximately 0.895833, or 89.5833%).
Working: 43 ÷ 48 = 0.895833 (89.5833%)

Key Values:
- Simplified Fraction: 43/48
- Mixed Number Form: 43/48
- Decimal Value: 0.895833
- Percentage: 89.5833%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-6-plus-9-16/
==================================================

2/6 + 9/16 = 43/48

Simplified Fraction

43/48

Mixed Number

Proper (43/48)

Decimal Value

0.895833

Percentage

89.5833%

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: 2/6 + 9/16

Step 1

Find the Least Common Denominator (LCD)

The denominators 6 and 16 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 48 (which is smaller than their product 6 × 16 = 96, keeping the calculation simpler).

LCD(6, 16) = 48

Step 2

Convert to Equivalent Fractions with Common Denominator 48

Multiply the numerator and denominator of 2/6 by 8, and multiply the numerator and denominator of 9/16 by 3 so both fractions share the common base 48.

2 × 8/6 × 8 = 16/48 and 9 × 3/16 × 3 = 27/48

Step 3

Add the Numerators

Now add the numerators (16 + 27 = 43) and keep the common denominator 48 unchanged.

16 + 27/48 = 43/48

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 43 and 48 is 1, confirming that 43/48 cannot be reduced further—it is already in its simplest irreducible form.

43/48

Step 5

Decimal & Percentage Representation

Dividing the numerator 43 by denominator 48 produces a repeating decimal (approximately 0.895833, or 89.5833%).

43 ÷ 48 = 0.895833 (89.5833%)

Visual Representation

The diagram below illustrates 2/6 plus 9/16 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`43/48`
Mixed Number Form	`43/48`
Decimal Form	`0.895833`
Percentage	`89.5833%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/6 plus 9/16 as a fraction?

2/6 + 9/16 in simplest fraction form is 43/48.

What is 2/6 plus 9/16 as a decimal?

2/6 + 9/16 converted to a decimal is 0.895833.

What is 2/6 plus 9/16 as a percentage?

2/6 + 9/16 expressed as a percentage is 89.5833%.

Does 2/6 plus 9/16 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.895833...) because the denominator contains prime factors other than 2 and 5.