What is 4/8 plus 9/15? (Answer: 11/10)

Exact Answer

==================================================
Problem: What is 4/8 plus 9/15?
Formula / Expression: 4/8 + 9/15
Final Answer: 1 1/10 (11/10)
==================================================

Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 120
Multiply the numerator and denominator of 4/8 by 15, and multiply the numerator and denominator of 9/15 by 8 so both fractions share the common base 120.
Working: 4 × 15/8 × 15 = 60/120 and 9 × 8/15 × 8 = 72/120

Step 3: Add the Numerators
Now add the numerators (60 + 72 = 132) and keep the common denominator 120 unchanged.
Working: 60 + 72/120 = 132/120

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 132 and 120, which is 12. Divide both the numerator and denominator by 12.
Working: 132 ÷ 12/120 ÷ 12 = 11/10

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (11) is greater than the denominator (10), divide 11 by 10: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/10.
Working: 11/10 = 1 1/10

Step 6: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).
Working: 11 ÷ 10 = 1.1 (110%)

Key Values:
- Simplified Fraction: 11/10
- Mixed Number Form: 1 1/10
- Decimal Value: 1.1
- Percentage: 110%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-8-plus-9-15/
==================================================

4/8 + 9/15 = 11/10

Simplified Fraction

11/10

Mixed Number

1 1/10

Decimal Value

1.1

Percentage

110%

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: 4/8 + 9/15

Step 1

Find the Least Common Denominator (LCD)

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

LCD(8, 15) = 120

Step 2

Convert to Equivalent Fractions with Common Denominator 120

Multiply the numerator and denominator of 4/8 by 15, and multiply the numerator and denominator of 9/15 by 8 so both fractions share the common base 120.

4 × 15/8 × 15 = 60/120 and 9 × 8/15 × 8 = 72/120

Step 3

Add the Numerators

Now add the numerators (60 + 72 = 132) and keep the common denominator 120 unchanged.

60 + 72/120 = 132/120

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 132 and 120, which is 12. Divide both the numerator and denominator by 12.

132 ÷ 12/120 ÷ 12 = 11/10

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (11) is greater than the denominator (10), divide 11 by 10: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/10.

11/10 = 11/10

Step 6

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).

11 ÷ 10 = 1.1 (110%)

Visual Representation

The diagram below illustrates 4/8 plus 9/15 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/10`
Mixed Number Form	`1 1/10`
Decimal Form	`1.1`
Percentage	`110%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 4/8 plus 9/15 as a fraction?

4/8 + 9/15 in simplest fraction form is 11/10 (or 1 1/10 as a mixed number).

What is 4/8 plus 9/15 as a decimal?

4/8 + 9/15 converted to a decimal is 1.1.

What is 4/8 plus 9/15 as a percentage?

4/8 + 9/15 expressed as a percentage is 110%.

How do you write 4/8 plus 9/15 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 11/10 can be written as the mixed number 1 1/10.

Does 4/8 plus 9/15 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.1) because the denominator in simplest terms contains only prime factors 2 and/or 5.