What Is 1 1/3 Plus 1 1/3

What Is 1 1/3 Plus 1 1/3? More Than Just a Simple Math Problem

Ever found yourself standing in the kitchen, staring at two measuring cups each filled with one and one-third cups of flour, wondering exactly how much you’d have if you poured them together? Now, or maybe you’re helping a kid with homework, staring at a fraction problem that seems absurdly simple but somehow feels tricky in the moment? The question "what is 1 1/3 plus 1 1/3" might look like second-grade arithmetic at first glance. But honestly, it’s a fantastic little gateway into understanding how fractions really work – not just as abstract symbols on a page, but as tools we use all the time in cooking, building, budgeting, and everyday problem-solving. In practice, let’s unpack this seemingly simple question properly. It’s more interesting – and useful – than you might think.

The Straight Answer (And Why It Matters How We Get There)

Okay, let’s cut to the chase first: 1 1/3 plus 1 1/3 equals 2 and 2/3. Or, if you prefer improper fractions, that’s 8/3. Because of that, in decimal form, it’s approximately 2. 666... (with the 6 repeating forever).

But if that’s all you needed, you probably wouldn’t be reading a whole article about it, right? Understanding the why makes you flexible. Day to day, the real value isn’t just in knowing the answer – it’s in understanding why it’s 2 and 2/3. It means you can adapt the method when faced with 2 3/8 plus 1 5/8, or when you’re trying to figure out if you have enough paint for two coats on a wall that needs 1 1/3 gallons per coat. That's why fractions trip people up not because the concepts are impossibly hard, but because we often learn them as rote procedures without grasping what the numbers actually represent. So let’s break it down properly, step by step, like we’re figuring it out together at the kitchen table.

Method 1: Adding the Wholes and Fractions Separately (The Intuitive Way)

This is often the most intuitive approach, especially when dealing with mixed numbers like 1 1/3. Think of the mixed number as two separate parts: the whole number part and the fractional part.

• First number: 1 1/3 = 1 (whole) + 1/3 (fraction)
• Second number: 1 1/3 = 1 (whole) + 1/3 (fraction)

Now, add the like parts together:

• Add the whole numbers: 1 + 1 = 2
• Add the fractions: 1/3 + 1/3 = 2/3

Finally, combine the results: 2 (from the wholes) + 2/3 (from the fractions) = 2 2/3.

See? In real terms, wait, no – wait, in our case it was one whole plus one whole makes two wholes, and one-third plus one-third makes two-thirds. So two wholes and two-thirds. Yeah, that makes sense. Put them together: four apples and two-thirds of an apple. You have two whole apples plus another two whole apples making four apples, and separately you have one-third of an apple plus another one-third making two-thirds of an apple. Even so, what happens if they add up to more than one? This method works beautifully when the fractional parts add up to less than one whole (like 1/3 + 1/3 = 2/3, which is less than 1). Which means it feels natural, like combining piles of apples and oranges separately. We’ll get to that – it’s where the next method shines.

Method 2: Converting to Improper Fractions First (The Universal Workhorse)

Sometimes, especially when the fractions might add up to more than one whole, converting mixed numbers to improper fractions first makes the addition straightforward and avoids dealing with carrying over wholes separately. An improper fraction is just a fraction where the numerator (top number) is bigger than or equal to the denominator (bottom number).

Let’s convert each 1 1/3:

• To convert a mixed number to an improper fraction: multiply the whole number by the denominator, then add the numerator. That said, keep the same denominator. Even so, * For 1 1/3: (1 * 3) + 1 = 3 + 1 = 4. So, 1 1/3 = 4/3.
• Do the same for the second number: 1 1/3 = (1 * 3) + 1 = 4/3.

Now the problem is simply: 4/3 + 4/3. Since the denominators are the same (both are 3), we just add the numerators: 4 + 4 = 8. The denominator stays 3. So, 4/3 + 4/3 = 8/3.

If you found this helpful, you might also enjoy how to calculate how to pay off mortgage early or how many days until august 16.

Now, we often want to convert this improper fraction back to a mixed number for easier

…interpretation in everyday terms. Day to day, to turn 8⁄3 back into a mixed number, divide the numerator by the denominator: 3 goes into 8 two times, with a remainder of 2. The whole‑number part is therefore 2, and the leftover fraction is the remainder over the original denominator, 2⁄3. Not complicated — just consistent.

[ \frac{8}{3}=2\frac{2}{3}. ]

So, whether you add the whole numbers and fractions separately (Method 1) or first rewrite each mixed number as an improper fraction (Method 2), you arrive at the same total: 2 ⅔ gallons of paint are required for two coats.

A quick sanity check can be done with decimals: 1 ⅓ ≈ 1.On the flip side, 333…, and doubling that gives roughly 2. Which means 666…, which is exactly 2 ⅔. This consistency across methods reinforces confidence in the result.

Conclusion:
When a wall calls for 1 ⅓ gallons per coat and you plan to apply two coats, you’ll need a total of 2 ⅔ gallons of paint. In practice, it’s wise to round up to the next readily available container size—typically a 3‑gallon can—to ensure you have enough for touch‑ups and any minor variations in surface absorption. With that amount secured, you’re ready to roll out a smooth, even finish.

A quick sanity check can be done with decimals: 1 ⅓ ≈ 1.Consider this: 666…, which is exactly 2 ⅔. 333…, and doubling that gives roughly 2.This consistency across methods reinforces confidence in the result.

Conclusion:
When a wall calls for 1 ⅓ gallons per coat and you plan to apply two coats, you’ll need a total of 2 ⅔ gallons of paint. In practice, it’s wise to round up to the next readily available container size—typically a 3‑gallon can—to ensure you have enough for touch‑ups and any minor variations in surface absorption. With that amount secured, you’re ready to roll out a smooth, even finish.

After securing a 3‑gallon container, give the paint a good stir before you begin; settled pigments can cause uneven color if left undisturbed. If you’re working over a porous surface, apply a thin coat of primer first—this not only improves adhesion but can also reduce the amount of topcoat needed, sometimes saving you a quart or two. When you’re ready to paint, use a high‑quality roller with a ⅜‑inch nap for smooth walls; load

After securing a 3‑gallon container, give the paint a good stir before you begin; settled pigments can cause uneven color if left undisturbed. In real terms, if you’re working over a porous surface, apply a thin coat of primer first—this not only improves adhesion but can also reduce the amount of topcoat needed, sometimes saving you a quart or two. In practice, when you’re ready to paint, use a high‑quality roller with a ⅜‑inch nap for smooth walls; load the roller evenly with paint and work in sections, maintaining a wet edge to prevent lap marks. For cut‑in areas around trim and corners, a quality angled brush will give you precise control without splatter.

Remember that environmental conditions matter as much as the paint itself. Ideal temperatures fall between 50°F and 85°F, and humidity should ideally stay below 70% to ensure proper drying. Here's the thing — if you’re painting in cooler weather, consider using a low‑temperature formula or allowing extra drying time between coats. Conversely, in humid conditions, a dehumidifier or fan can accelerate curing and prevent moisture-related issues like mildew.

Once the first coat is complete and fully dry, lightly sand any imperfections with fine-grit paper before applying the second coat. That said, this final step ensures a flawless, uniform finish that will stand the test of time. With proper measurement, preparation, and technique, your two‑coat project will not only look professional but also last longer—saving you time and effort in the years ahead.