What is 2/16 plus 6/7? (Answer: 55/56)

Exact Answer

==================================================
Problem: What is 2/16 plus 6/7?
Formula / Expression: 2/16 + 6/7
Final Answer: 55/56
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 16 and 7 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 16 × 7 = 112.
Working: LCD(16, 7) = 112

Step 2: Convert to Equivalent Fractions with Common Denominator 112
Multiply the numerator and denominator of 2/16 by 7, and multiply the numerator and denominator of 6/7 by 16 so both fractions share the common base 112.
Working: 2 × 7/16 × 7 = 14/112 and 6 × 16/7 × 16 = 96/112

Step 3: Add the Numerators
Now add the numerators (14 + 96 = 110) and keep the common denominator 112 unchanged.
Working: 14 + 96/112 = 110/112

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 110 and 112, which is 2. Divide both the numerator and denominator by 2.
Working: 110 ÷ 2/112 ÷ 2 = 55/56

Step 5: Decimal & Percentage Representation
Dividing the numerator 55 by denominator 56 produces a repeating decimal (approximately 0.982143, or 98.2143%).
Working: 55 ÷ 56 = 0.982143 (98.2143%)

Key Values:
- Simplified Fraction: 55/56
- Mixed Number Form: 55/56
- Decimal Value: 0.982143
- Percentage: 98.2143%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-16-plus-6-7/
==================================================

2/16 + 6/7 = 55/56

Simplified Fraction

55/56

Mixed Number

Proper (55/56)

Decimal Value

0.982143

Percentage

98.2143%

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: 2/16 + 6/7

Step 1

Find the Least Common Denominator (LCD)

The denominators 16 and 7 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 16 × 7 = 112.

LCD(16, 7) = 112

Step 2

Convert to Equivalent Fractions with Common Denominator 112

Multiply the numerator and denominator of 2/16 by 7, and multiply the numerator and denominator of 6/7 by 16 so both fractions share the common base 112.

2 × 7/16 × 7 = 14/112 and 6 × 16/7 × 16 = 96/112

Step 3

Add the Numerators

Now add the numerators (14 + 96 = 110) and keep the common denominator 112 unchanged.

14 + 96/112 = 110/112

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 110 and 112, which is 2. Divide both the numerator and denominator by 2.

110 ÷ 2/112 ÷ 2 = 55/56

Step 5

Decimal & Percentage Representation

Dividing the numerator 55 by denominator 56 produces a repeating decimal (approximately 0.982143, or 98.2143%).

55 ÷ 56 = 0.982143 (98.2143%)

Visual Representation

The diagram below illustrates 2/16 plus 6/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/56`
Mixed Number Form	`55/56`
Decimal Form	`0.982143`
Percentage	`98.2143%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/16 plus 6/7 as a fraction?

2/16 + 6/7 in simplest fraction form is 55/56.

What is 2/16 plus 6/7 as a decimal?

2/16 + 6/7 converted to a decimal is 0.982143.

What is 2/16 plus 6/7 as a percentage?

2/16 + 6/7 expressed as a percentage is 98.2143%.

Does 2/16 plus 6/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.982143...) because the denominator contains prime factors other than 2 and 5.