What is 17/48 plus 8/21? (Answer: 247/336)

Exact Answer

==================================================
Problem: What is 17/48 plus 8/21?
Formula / Expression: 17/48 + 8/21
Final Answer: 247/336
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 48 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 336 (which is smaller than their product 48 × 21 = 1008, keeping the calculation simpler).
Working: LCD(48, 21) = 336

Step 2: Convert to Equivalent Fractions with Common Denominator 336
Multiply the numerator and denominator of 17/48 by 7, and multiply the numerator and denominator of 8/21 by 16 so both fractions share the common base 336.
Working: 17 × 7/48 × 7 = 119/336 and 8 × 16/21 × 16 = 128/336

Step 3: Add the Numerators
Now add the numerators (119 + 128 = 247) and keep the common denominator 336 unchanged.
Working: 119 + 128/336 = 247/336

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 247 and 336 is 1, confirming that 247/336 cannot be reduced further—it is already in its simplest irreducible form.
Working: 247/336

Step 5: Decimal & Percentage Representation
Dividing the numerator 247 by denominator 336 produces a repeating decimal (approximately 0.735119, or 73.5119%).
Working: 247 ÷ 336 = 0.735119 (73.5119%)

Key Values:
- Simplified Fraction: 247/336
- Mixed Number Form: 247/336
- Decimal Value: 0.735119
- Percentage: 73.5119%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-17-48-plus-8-21/
==================================================

17/48 + 8/21 = 247/336

Simplified Fraction

247/336

Mixed Number

Proper (247/336)

Decimal Value

0.735119

Percentage

73.5119%

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: 17/48 + 8/21

Step 1

Find the Least Common Denominator (LCD)

The denominators 48 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 336 (which is smaller than their product 48 × 21 = 1008, keeping the calculation simpler).

LCD(48, 21) = 336

Step 2

Convert to Equivalent Fractions with Common Denominator 336

Multiply the numerator and denominator of 17/48 by 7, and multiply the numerator and denominator of 8/21 by 16 so both fractions share the common base 336.

17 × 7/48 × 7 = 119/336 and 8 × 16/21 × 16 = 128/336

Step 3

Add the Numerators

Now add the numerators (119 + 128 = 247) and keep the common denominator 336 unchanged.

119 + 128/336 = 247/336

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 247 and 336 is 1, confirming that 247/336 cannot be reduced further—it is already in its simplest irreducible form.

247/336

Step 5

Decimal & Percentage Representation

Dividing the numerator 247 by denominator 336 produces a repeating decimal (approximately 0.735119, or 73.5119%).

247 ÷ 336 = 0.735119 (73.5119%)

Visual Representation

The diagram below illustrates 17/48 plus 8/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`247/336`
Mixed Number Form	`247/336`
Decimal Form	`0.735119`
Percentage	`73.5119%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 17/48 plus 8/21 as a fraction?

17/48 + 8/21 in simplest fraction form is 247/336.

What is 17/48 plus 8/21 as a decimal?

17/48 + 8/21 converted to a decimal is 0.735119.

What is 17/48 plus 8/21 as a percentage?

17/48 + 8/21 expressed as a percentage is 73.5119%.

Does 17/48 plus 8/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.735119...) because the denominator contains prime factors other than 2 and 5.