What is 4/20 plus 2/7? (Answer: 17/35)

Exact Answer

==================================================
Problem: What is 4/20 plus 2/7?
Formula / Expression: 4/20 + 2/7
Final Answer: 17/35
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 20 and 7 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 20 × 7 = 140.
Working: LCD(20, 7) = 140

Step 2: Convert to Equivalent Fractions with Common Denominator 140
Multiply the numerator and denominator of 4/20 by 7, and multiply the numerator and denominator of 2/7 by 20 so both fractions share the common base 140.
Working: 4 × 7/20 × 7 = 28/140 and 2 × 20/7 × 20 = 40/140

Step 3: Add the Numerators
Now add the numerators (28 + 40 = 68) and keep the common denominator 140 unchanged.
Working: 28 + 40/140 = 68/140

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 68 and 140, which is 4. Divide both the numerator and denominator by 4.
Working: 68 ÷ 4/140 ÷ 4 = 17/35

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 35 produces a repeating decimal (approximately 0.485714, or 48.5714%).
Working: 17 ÷ 35 = 0.485714 (48.5714%)

Key Values:
- Simplified Fraction: 17/35
- Mixed Number Form: 17/35
- Decimal Value: 0.485714
- Percentage: 48.5714%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-20-plus-2-7/
==================================================

4/20 + 2/7 = 17/35

Simplified Fraction

17/35

Mixed Number

Proper (17/35)

Decimal Value

0.485714

Percentage

48.5714%

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: 4/20 + 2/7

Step 1

Find the Least Common Denominator (LCD)

The denominators 20 and 7 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 20 × 7 = 140.

LCD(20, 7) = 140

Step 2

Convert to Equivalent Fractions with Common Denominator 140

Multiply the numerator and denominator of 4/20 by 7, and multiply the numerator and denominator of 2/7 by 20 so both fractions share the common base 140.

4 × 7/20 × 7 = 28/140 and 2 × 20/7 × 20 = 40/140

Step 3

Add the Numerators

Now add the numerators (28 + 40 = 68) and keep the common denominator 140 unchanged.

28 + 40/140 = 68/140

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 68 and 140, which is 4. Divide both the numerator and denominator by 4.

68 ÷ 4/140 ÷ 4 = 17/35

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 35 produces a repeating decimal (approximately 0.485714, or 48.5714%).

17 ÷ 35 = 0.485714 (48.5714%)

Visual Representation

The diagram below illustrates 4/20 plus 2/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/35`
Mixed Number Form	`17/35`
Decimal Form	`0.485714`
Percentage	`48.5714%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 4/20 plus 2/7 as a fraction?

4/20 + 2/7 in simplest fraction form is 17/35.

What is 4/20 plus 2/7 as a decimal?

4/20 + 2/7 converted to a decimal is 0.485714.

What is 4/20 plus 2/7 as a percentage?

4/20 + 2/7 expressed as a percentage is 48.5714%.

Does 4/20 plus 2/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.485714...) because the denominator contains prime factors other than 2 and 5.