What is 4/15 plus 4/8? (Answer: 23/30)

Exact Answer

==================================================
Problem: What is 4/15 plus 4/8?
Formula / Expression: 4/15 + 4/8
Final Answer: 23/30
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 15 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 8 = 120.
Working: LCD(15, 8) = 120

Step 2: Convert to Equivalent Fractions with Common Denominator 120
Multiply the numerator and denominator of 4/15 by 8, and multiply the numerator and denominator of 4/8 by 15 so both fractions share the common base 120.
Working: 4 × 8/15 × 8 = 32/120 and 4 × 15/8 × 15 = 60/120

Step 3: Add the Numerators
Now add the numerators (32 + 60 = 92) and keep the common denominator 120 unchanged.
Working: 32 + 60/120 = 92/120

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 92 and 120, which is 4. Divide both the numerator and denominator by 4.
Working: 92 ÷ 4/120 ÷ 4 = 23/30

Step 5: Decimal & Percentage Representation
Dividing the numerator 23 by denominator 30 produces a repeating decimal (approximately 0.766667, or 76.6667%).
Working: 23 ÷ 30 = 0.766667 (76.6667%)

Key Values:
- Simplified Fraction: 23/30
- Mixed Number Form: 23/30
- Decimal Value: 0.766667
- Percentage: 76.6667%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-15-plus-4-8/
==================================================

4/15 + 4/8 = 23/30

Simplified Fraction

23/30

Mixed Number

Proper (23/30)

Decimal Value

0.766667

Percentage

76.6667%

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: 4/15 + 4/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 15 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 8 = 120.

LCD(15, 8) = 120

Step 2

Convert to Equivalent Fractions with Common Denominator 120

Multiply the numerator and denominator of 4/15 by 8, and multiply the numerator and denominator of 4/8 by 15 so both fractions share the common base 120.

4 × 8/15 × 8 = 32/120 and 4 × 15/8 × 15 = 60/120

Step 3

Add the Numerators

Now add the numerators (32 + 60 = 92) and keep the common denominator 120 unchanged.

32 + 60/120 = 92/120

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 92 and 120, which is 4. Divide both the numerator and denominator by 4.

92 ÷ 4/120 ÷ 4 = 23/30

Step 5

Decimal & Percentage Representation

Dividing the numerator 23 by denominator 30 produces a repeating decimal (approximately 0.766667, or 76.6667%).

23 ÷ 30 = 0.766667 (76.6667%)

Visual Representation

The diagram below illustrates 4/15 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/30`
Mixed Number Form	`23/30`
Decimal Form	`0.766667`
Percentage	`76.6667%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 4/15 plus 4/8 as a fraction?

4/15 + 4/8 in simplest fraction form is 23/30.

What is 4/15 plus 4/8 as a decimal?

4/15 + 4/8 converted to a decimal is 0.766667.

What is 4/15 plus 4/8 as a percentage?

4/15 + 4/8 expressed as a percentage is 76.6667%.

Does 4/15 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.766667...) because the denominator contains prime factors other than 2 and 5.