What is 4/18 plus 7/9? (Answer: 1)

Exact Answer

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Problem: What is 4/18 plus 7/9?
Formula / Expression: 4/18 + 7/9
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 18 is an exact multiple of 9 (9 × 2 = 18). The Least Common Denominator (LCD) is simply 18, meaning we only need to scale one fraction.
Working: LCD(18, 9) = 18

Step 2: Convert to Equivalent Fractions with Common Denominator 18
Multiply the numerator and denominator of 4/18 by 1, and multiply the numerator and denominator of 7/9 by 2 so both fractions share the common base 18.
Working: 4 × 1/18 × 1 = 4/18 and 7 × 2/9 × 2 = 14/18

Step 3: Add the Numerators
Now add the numerators (4 + 14 = 18) and keep the common denominator 18 unchanged.
Working: 4 + 14/18 = 18/18

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (18) is completely divisible by the denominator (18). Dividing 18 by 18 yields the whole number 1 with zero remainder.
Working: 18/18 = 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:
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4/18 + 7/9 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 4/18 + 7/9

Step 1

Find the Least Common Denominator (LCD)

Notice that 18 is an exact multiple of 9 (9 × 2 = 18). The Least Common Denominator (LCD) is simply 18, meaning we only need to scale one fraction.

LCD(18, 9) = 18

Step 2

Convert to Equivalent Fractions with Common Denominator 18

Multiply the numerator and denominator of 4/18 by 1, and multiply the numerator and denominator of 7/9 by 2 so both fractions share the common base 18.

4 × 1/18 × 1 = 4/18 and 7 × 2/9 × 2 = 14/18

Step 3

Add the Numerators

Now add the numerators (4 + 14 = 18) and keep the common denominator 18 unchanged.

4 + 14/18 = 18/18

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (18) is completely divisible by the denominator (18). Dividing 18 by 18 yields the whole number 1 with zero remainder.

18/18 = 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 4/18 plus 7/9 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 4/18 plus 7/9 as a fraction?

4/18 + 7/9 in simplest fraction form is 1.

What is 4/18 plus 7/9 as a decimal?

4/18 + 7/9 converted to a decimal is 1.

What is 4/18 plus 7/9 as a percentage?

4/18 + 7/9 expressed as a percentage is 100%.

Is the answer to 4/18 plus 7/9 a whole number?

Yes, 4/18 + 7/9 simplifies completely to the whole number 1 with no remaining fractional part.