What is 4/8 plus 9/18? (Answer: 1)

Exact Answer

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Problem: What is 4/8 plus 9/18?
Formula / Expression: 4/8 + 9/18
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 18 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 8 × 18 = 144, keeping the calculation simpler).
Working: LCD(8, 18) = 72

Step 2: Convert to Equivalent Fractions with Common Denominator 72
Multiply the numerator and denominator of 4/8 by 9, and multiply the numerator and denominator of 9/18 by 4 so both fractions share the common base 72.
Working: 4 × 9/8 × 9 = 36/72 and 9 × 4/18 × 4 = 36/72

Step 3: Add the Numerators
Now add the numerators (36 + 36 = 72) and keep the common denominator 72 unchanged.
Working: 36 + 36/72 = 72/72

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (72) is completely divisible by the denominator (72). Dividing 72 by 72 yields the whole number 1 with zero remainder.
Working: 72/72 = 1

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
Working: 1 ÷ 1 = 1 (100%)

Key Values:
- Simplified Fraction: 1
- Mixed Number Form: 1
- Decimal Value: 1
- Percentage: 100%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-8-plus-9-18/
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4/8 + 9/18 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 4/8 + 9/18

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 18 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 8 × 18 = 144, keeping the calculation simpler).

LCD(8, 18) = 72

Step 2

Convert to Equivalent Fractions with Common Denominator 72

Multiply the numerator and denominator of 4/8 by 9, and multiply the numerator and denominator of 9/18 by 4 so both fractions share the common base 72.

4 × 9/8 × 9 = 36/72 and 9 × 4/18 × 4 = 36/72

Step 3

Add the Numerators

Now add the numerators (36 + 36 = 72) and keep the common denominator 72 unchanged.

36 + 36/72 = 72/72

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (72) is completely divisible by the denominator (72). Dividing 72 by 72 yields the whole number 1 with zero remainder.

72/72 = 1

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).

1 ÷ 1 = 1 (100%)

Visual Representation

The diagram below illustrates 4/8 plus 9/18 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1`
Mixed Number Form	`1`
Decimal Form	`1`
Percentage	`100%`

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Frequently Asked Questions

What is 4/8 plus 9/18 as a fraction?

4/8 + 9/18 in simplest fraction form is 1.

What is 4/8 plus 9/18 as a decimal?

4/8 + 9/18 converted to a decimal is 1.

What is 4/8 plus 9/18 as a percentage?

4/8 + 9/18 expressed as a percentage is 100%.

Is the answer to 4/8 plus 9/18 a whole number?

Yes, 4/8 + 9/18 simplifies completely to the whole number 1 with no remaining fractional part.