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Exact Answer
3/9 + 2/3 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%

Step-by-Step Solution: 3/9 + 2/3

Step 1

Find the Least Common Denominator (LCD)

Notice that 9 is an exact multiple of 3 (3 ร— 3 = 9). The Least Common Denominator (LCD) is simply 9, meaning we only need to scale one fraction.
LCD(9, 3) = 9
Step 2

Convert to Equivalent Fractions with Common Denominator 9

Multiply the numerator and denominator of 3/9 by 1, and multiply the numerator and denominator of 2/3 by 3 so both fractions share the common base 9.
3 ร— 1/9 ร— 1 = 3/9   and   2 ร— 3/3 ร— 3 = 6/9
Step 3

Add the Numerators

Now add the numerators (3 + 6 = 9) and keep the common denominator 9 unchanged.
3 + 6/9 = 9/9
Step 4

Simplify to an Exact Whole Number

Notice that the numerator (9) is completely divisible by the denominator (9). Dividing 9 by 9 yields the whole number 1 with zero remainder.
9/9 = 1
Step 5

Decimal & Percentage Representation

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

Visual Representation

The diagram below illustrates 3/9 plus 2/3 visually:

3/91/91/91/91/91/91/91/91/91/93 of 9 parts shadedValue: 0.3333 (33.3%)
+
โ…”โ…“โ…“โ…“2 of 3 parts shadedValue: 0.6667 (66.7%)
=
Result: 11Value: 1 (100%)

Summary & Alternative Representations

Property / FormatValue
Lowest Terms Fraction1
Mixed Number Form1
Decimal Form1
Percentage100%

Frequently Asked Questions

What is 3/9 plus 2/3 as a fraction?

3/9 + 2/3 in simplest fraction form is 1.

What is 3/9 plus 2/3 as a decimal?

3/9 + 2/3 converted to a decimal is 1.

What is 3/9 plus 2/3 as a percentage?

3/9 + 2/3 expressed as a percentage is 100%.

Is the answer to 3/9 plus 2/3 a whole number?

Yes, 3/9 + 2/3 simplifies completely to the whole number 1 with no remaining fractional part.