What is 2/16 plus 9/40? (Answer: 7/20)

Exact Answer

==================================================
Problem: What is 2/16 plus 9/40?
Formula / Expression: 2/16 + 9/40
Final Answer: 7/20
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 16 and 40 share a common factor (GCD = 8). Finding their Least Common Multiple gives an LCD of 80 (which is smaller than their product 16 × 40 = 640, keeping the calculation simpler).
Working: LCD(16, 40) = 80

Step 2: Convert to Equivalent Fractions with Common Denominator 80
Multiply the numerator and denominator of 2/16 by 5, and multiply the numerator and denominator of 9/40 by 2 so both fractions share the common base 80.
Working: 2 × 5/16 × 5 = 10/80 and 9 × 2/40 × 2 = 18/80

Step 3: Add the Numerators
Now add the numerators (10 + 18 = 28) and keep the common denominator 80 unchanged.
Working: 10 + 18/80 = 28/80

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 28 and 80, which is 4. Divide both the numerator and denominator by 4.
Working: 28 ÷ 4/80 ÷ 4 = 7/20

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 20 yields an exact terminating decimal of 0.35 (or 35%).
Working: 7 ÷ 20 = 0.35 (35%)

Key Values:
- Simplified Fraction: 7/20
- Mixed Number Form: 7/20
- Decimal Value: 0.35
- Percentage: 35%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-16-plus-9-40/
==================================================

2/16 + 9/40 = 7/20

Simplified Fraction

7/20

Mixed Number

Proper (7/20)

Decimal Value

0.35

Percentage

35%

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: 2/16 + 9/40

Step 1

Find the Least Common Denominator (LCD)

The denominators 16 and 40 share a common factor (GCD = 8). Finding their Least Common Multiple gives an LCD of 80 (which is smaller than their product 16 × 40 = 640, keeping the calculation simpler).

LCD(16, 40) = 80

Step 2

Convert to Equivalent Fractions with Common Denominator 80

Multiply the numerator and denominator of 2/16 by 5, and multiply the numerator and denominator of 9/40 by 2 so both fractions share the common base 80.

2 × 5/16 × 5 = 10/80 and 9 × 2/40 × 2 = 18/80

Step 3

Add the Numerators

Now add the numerators (10 + 18 = 28) and keep the common denominator 80 unchanged.

10 + 18/80 = 28/80

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 28 and 80, which is 4. Divide both the numerator and denominator by 4.

28 ÷ 4/80 ÷ 4 = 7/20

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 20 yields an exact terminating decimal of 0.35 (or 35%).

7 ÷ 20 = 0.35 (35%)

Visual Representation

The diagram below illustrates 2/16 plus 9/40 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/20`
Mixed Number Form	`7/20`
Decimal Form	`0.35`
Percentage	`35%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/16 plus 9/40 as a fraction?

2/16 + 9/40 in simplest fraction form is 7/20.

What is 2/16 plus 9/40 as a decimal?

2/16 + 9/40 converted to a decimal is 0.35.

What is 2/16 plus 9/40 as a percentage?

2/16 + 9/40 expressed as a percentage is 35%.

Does 2/16 plus 9/40 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.35) because the denominator in simplest terms contains only prime factors 2 and/or 5.