What is 3/8 plus 9/19? (Answer: 129/152)

Exact Answer

==================================================
Problem: What is 3/8 plus 9/19?
Formula / Expression: 3/8 + 9/19
Final Answer: 129/152
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 19 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 19 = 152.
Working: LCD(8, 19) = 152

Step 2: Convert to Equivalent Fractions with Common Denominator 152
Multiply the numerator and denominator of 3/8 by 19, and multiply the numerator and denominator of 9/19 by 8 so both fractions share the common base 152.
Working: 3 × 19/8 × 19 = 57/152 and 9 × 8/19 × 8 = 72/152

Step 3: Add the Numerators
Now add the numerators (57 + 72 = 129) and keep the common denominator 152 unchanged.
Working: 57 + 72/152 = 129/152

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 129 and 152 is 1, confirming that 129/152 cannot be reduced further—it is already in its simplest irreducible form.
Working: 129/152

Step 5: Decimal & Percentage Representation
Dividing the numerator 129 by denominator 152 produces a repeating decimal (approximately 0.848684, or 84.8684%).
Working: 129 ÷ 152 = 0.848684 (84.8684%)

Key Values:
- Simplified Fraction: 129/152
- Mixed Number Form: 129/152
- Decimal Value: 0.848684
- Percentage: 84.8684%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-8-plus-9-19/
==================================================

3/8 + 9/19 = 129/152

Simplified Fraction

129/152

Mixed Number

Proper (129/152)

Decimal Value

0.848684

Percentage

84.8684%

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: 3/8 + 9/19

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 19 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 19 = 152.

LCD(8, 19) = 152

Step 2

Convert to Equivalent Fractions with Common Denominator 152

Multiply the numerator and denominator of 3/8 by 19, and multiply the numerator and denominator of 9/19 by 8 so both fractions share the common base 152.

3 × 19/8 × 19 = 57/152 and 9 × 8/19 × 8 = 72/152

Step 3

Add the Numerators

Now add the numerators (57 + 72 = 129) and keep the common denominator 152 unchanged.

57 + 72/152 = 129/152

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 129 and 152 is 1, confirming that 129/152 cannot be reduced further—it is already in its simplest irreducible form.

129/152

Step 5

Decimal & Percentage Representation

Dividing the numerator 129 by denominator 152 produces a repeating decimal (approximately 0.848684, or 84.8684%).

129 ÷ 152 = 0.848684 (84.8684%)

Visual Representation

The diagram below illustrates 3/8 plus 9/19 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`129/152`
Mixed Number Form	`129/152`
Decimal Form	`0.848684`
Percentage	`84.8684%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 3/8 plus 9/19 as a fraction?

3/8 + 9/19 in simplest fraction form is 129/152.

What is 3/8 plus 9/19 as a decimal?

3/8 + 9/19 converted to a decimal is 0.848684.

What is 3/8 plus 9/19 as a percentage?

3/8 + 9/19 expressed as a percentage is 84.8684%.

Does 3/8 plus 9/19 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.848684...) because the denominator contains prime factors other than 2 and 5.