What is 2/40 plus 4/5? (Answer: 17/20)

Exact Answer

==================================================
Problem: What is 2/40 plus 4/5?
Formula / Expression: 2/40 + 4/5
Final Answer: 17/20
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 40 is an exact multiple of 5 (5 × 8 = 40). The Least Common Denominator (LCD) is simply 40, meaning we only need to scale one fraction.
Working: LCD(40, 5) = 40

Step 2: Convert to Equivalent Fractions with Common Denominator 40
Multiply the numerator and denominator of 2/40 by 1, and multiply the numerator and denominator of 4/5 by 8 so both fractions share the common base 40.
Working: 2 × 1/40 × 1 = 2/40 and 4 × 8/5 × 8 = 32/40

Step 3: Add the Numerators
Now add the numerators (2 + 32 = 34) and keep the common denominator 40 unchanged.
Working: 2 + 32/40 = 34/40

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 34 and 40, which is 2. Divide both the numerator and denominator by 2.
Working: 34 ÷ 2/40 ÷ 2 = 17/20

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 20 yields an exact terminating decimal of 0.85 (or 85%).
Working: 17 ÷ 20 = 0.85 (85%)

Key Values:
- Simplified Fraction: 17/20
- Mixed Number Form: 17/20
- Decimal Value: 0.85
- Percentage: 85%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-40-plus-4-5/
==================================================

2/40 + 4/5 = 17/20

Simplified Fraction

17/20

Mixed Number

Proper (17/20)

Decimal Value

0.85

Percentage

85%

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: 2/40 + 4/5

Step 1

Find the Least Common Denominator (LCD)

Notice that 40 is an exact multiple of 5 (5 × 8 = 40). The Least Common Denominator (LCD) is simply 40, meaning we only need to scale one fraction.

LCD(40, 5) = 40

Step 2

Convert to Equivalent Fractions with Common Denominator 40

Multiply the numerator and denominator of 2/40 by 1, and multiply the numerator and denominator of 4/5 by 8 so both fractions share the common base 40.

2 × 1/40 × 1 = 2/40 and 4 × 8/5 × 8 = 32/40

Step 3

Add the Numerators

Now add the numerators (2 + 32 = 34) and keep the common denominator 40 unchanged.

2 + 32/40 = 34/40

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 34 and 40, which is 2. Divide both the numerator and denominator by 2.

34 ÷ 2/40 ÷ 2 = 17/20

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 20 yields an exact terminating decimal of 0.85 (or 85%).

17 ÷ 20 = 0.85 (85%)

Visual Representation

The diagram below illustrates 2/40 plus 4/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/20`
Mixed Number Form	`17/20`
Decimal Form	`0.85`
Percentage	`85%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/40 plus 4/5 as a fraction?

2/40 + 4/5 in simplest fraction form is 17/20.

What is 2/40 plus 4/5 as a decimal?

2/40 + 4/5 converted to a decimal is 0.85.

What is 2/40 plus 4/5 as a percentage?

2/40 + 4/5 expressed as a percentage is 85%.

Does 2/40 plus 4/5 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.85) because the denominator in simplest terms contains only prime factors 2 and/or 5.