What is 1/2 plus 8/16? (Answer: 1)

Exact Answer

==================================================
Problem: What is 1/2 plus 8/16?
Formula / Expression: 1/2 + 8/16
Final Answer: 1
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 16 is an exact multiple of 2 (2 × 8 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.
Working: LCD(2, 16) = 16

Step 2: Convert to Equivalent Fractions with Common Denominator 16
Multiply the numerator and denominator of 1/2 by 8, and multiply the numerator and denominator of 8/16 by 1 so both fractions share the common base 16.
Working: 1 × 8/2 × 8 = 8/16 and 8 × 1/16 × 1 = 8/16

Step 3: Add the Numerators
Now add the numerators (8 + 8 = 16) and keep the common denominator 16 unchanged.
Working: 8 + 8/16 = 16/16

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (16) is completely divisible by the denominator (16). Dividing 16 by 16 yields the whole number 1 with zero remainder.
Working: 16/16 = 1

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
Working: 1 ÷ 1 = 1 (100%)

Key Values:
- Simplified Fraction: 1
- Mixed Number Form: 1
- Decimal Value: 1
- Percentage: 100%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-2-plus-8-16/
==================================================

1/2 + 8/16 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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: 1/2 + 8/16

Step 1

Find the Least Common Denominator (LCD)

Notice that 16 is an exact multiple of 2 (2 × 8 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.

LCD(2, 16) = 16

Step 2

Convert to Equivalent Fractions with Common Denominator 16

Multiply the numerator and denominator of 1/2 by 8, and multiply the numerator and denominator of 8/16 by 1 so both fractions share the common base 16.

1 × 8/2 × 8 = 8/16 and 8 × 1/16 × 1 = 8/16

Step 3

Add the Numerators

Now add the numerators (8 + 8 = 16) and keep the common denominator 16 unchanged.

8 + 8/16 = 16/16

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (16) is completely divisible by the denominator (16). Dividing 16 by 16 yields the whole number 1 with zero remainder.

16/16 = 1

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).

1 ÷ 1 = 1 (100%)

Visual Representation

The diagram below illustrates 1/2 plus 8/16 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1`
Mixed Number Form	`1`
Decimal Form	`1`
Percentage	`100%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1/2 plus 8/16 as a fraction?

1/2 + 8/16 in simplest fraction form is 1.

What is 1/2 plus 8/16 as a decimal?

1/2 + 8/16 converted to a decimal is 1.

What is 1/2 plus 8/16 as a percentage?

1/2 + 8/16 expressed as a percentage is 100%.

Is the answer to 1/2 plus 8/16 a whole number?

Yes, 1/2 + 8/16 simplifies completely to the whole number 1 with no remaining fractional part.