What is 4/18 plus 3/4? (Answer: 35/36)

Exact Answer

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Problem: What is 4/18 plus 3/4?
Formula / Expression: 4/18 + 3/4
Final Answer: 35/36
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 18 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 18 × 4 = 72, keeping the calculation simpler).
Working: LCD(18, 4) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 4/18 by 2, and multiply the numerator and denominator of 3/4 by 9 so both fractions share the common base 36.
Working: 4 × 2/18 × 2 = 8/36 and 3 × 9/4 × 9 = 27/36

Step 3: Add the Numerators
Now add the numerators (8 + 27 = 35) and keep the common denominator 36 unchanged.
Working: 8 + 27/36 = 35/36

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 35 and 36 is 1, confirming that 35/36 cannot be reduced further—it is already in its simplest irreducible form.
Working: 35/36

Step 5: Decimal & Percentage Representation
Dividing the numerator 35 by denominator 36 produces a repeating decimal (approximately 0.972222, or 97.2222%).
Working: 35 ÷ 36 = 0.972222 (97.2222%)

Key Values:
- Simplified Fraction: 35/36
- Mixed Number Form: 35/36
- Decimal Value: 0.972222
- Percentage: 97.2222%

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Solved with FractionsCalc:
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4/18 + 3/4 = 35/36

Simplified Fraction

35/36

Mixed Number

Proper (35/36)

Decimal Value

0.972222

Percentage

97.2222%

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Step-by-Step Solution: 4/18 + 3/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 18 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 18 × 4 = 72, keeping the calculation simpler).

LCD(18, 4) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 4/18 by 2, and multiply the numerator and denominator of 3/4 by 9 so both fractions share the common base 36.

4 × 2/18 × 2 = 8/36 and 3 × 9/4 × 9 = 27/36

Step 3

Add the Numerators

Now add the numerators (8 + 27 = 35) and keep the common denominator 36 unchanged.

8 + 27/36 = 35/36

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 35 and 36 is 1, confirming that 35/36 cannot be reduced further—it is already in its simplest irreducible form.

35/36

Step 5

Decimal & Percentage Representation

Dividing the numerator 35 by denominator 36 produces a repeating decimal (approximately 0.972222, or 97.2222%).

35 ÷ 36 = 0.972222 (97.2222%)

Visual Representation

The diagram below illustrates 4/18 plus 3/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`35/36`
Mixed Number Form	`35/36`
Decimal Form	`0.972222`
Percentage	`97.2222%`

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Frequently Asked Questions

What is 4/18 plus 3/4 as a fraction?

4/18 + 3/4 in simplest fraction form is 35/36.

What is 4/18 plus 3/4 as a decimal?

4/18 + 3/4 converted to a decimal is 0.972222.

What is 4/18 plus 3/4 as a percentage?

4/18 + 3/4 expressed as a percentage is 97.2222%.

Does 4/18 plus 3/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.972222...) because the denominator contains prime factors other than 2 and 5.