683+243=
\( 6\frac{3}{8}+2\frac{3}{4}= \)
\( 7\frac{2}{4}+3\frac{1}{4}= \)
\( 2\frac{1}{6}+2\frac{2}{3}= \)
\( 3\frac{1}{2}+8\frac{3}{4}= \)
\( 6\frac{1}{2}-1\frac{3}{4}= \)
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert mixed numbers to improper fractions.
The first mixed number is . To convert this:
The second mixed number is . To convert this:
Step 2: Find a common denominator for and .
The denominators are 8 and 4. The least common denominator is 8.
Step 3: Add the fractions.
Convert to the equivalent fraction with a denominator of 8:
Now add: .
Step 4: Convert back to a mixed number.
Therefore, the solution to the problem is .
To solve the problem of adding , we follow these steps:
The final result of the mixed number addition is .
To find the sum of , we will follow these steps:
Therefore, the sum of the mixed numbers and is .
To solve the problem of adding , we'll go through these steps:
Let's apply these steps in detail:
Step 1: Add the whole numbers:
.
Step 2: Add the fractions and :
The denominators are 2 and 4. The least common denominator is 4.
Convert to an equivalent fraction with a denominator of 4:
.
Now, add the fractions:
.
is an improper fraction, which can be converted to a mixed number:
.
Step 3: Combine the whole numbers and the mixed fraction:
.
Therefore, the solution to the problem is .
Let's work through the problem:
Step 1: Convert to improper fractions.
The mixed number is converted to an improper fraction as follows:
Multiply the whole number 6 by the denominator 2: .
Add the numerator 1: .
The improper fraction is .
The mixed number is converted to an improper fraction as follows:
Multiply the whole number 1 by the denominator 4: .
Add the numerator 3: .
The improper fraction is .
Step 2: Find a common denominator.
The denominators are 2 and 4. The least common denominator is 4.
Step 3: Adjust fractions to have the common denominator.
needs to be adjusted to have a denominator of 4:
Multiply both the numerator and the denominator by 2: .
Step 4: Perform the subtraction.
Subtract from :
.
Step 5: Convert the improper fraction back to a mixed number.
Divide the numerator by the denominator:
with a remainder of 3.
The mixed number is .
Therefore, the solution to the problem is .
\( 3\frac{7}{15}-2\frac{1}{5}= \)
\( 6\frac{5}{14}-2\frac{1}{7}= \)
\( 2\frac{7}{9}+1\frac{1}{3}= \)
\( 13\frac{3}{10}+2\frac{1}{2}= \)
\( 3\frac{1}{2}+1\frac{2}{6}= \)
To solve this problem, we will subtract the mixed numbers and by considering their whole number parts and fractions separately.
Step 1: Subtract the Whole Numbers
The whole number part of the first mixed number is 3, and for the second mixed number, it is 2. Subtracting these gives:
Step 2: Subtract the Fractional Parts
The fractional part of the first number is , and for the second, it is . We need a common denominator to subtract these fractions. The least common denominator for 15 and 5 is 15. Convert to a fraction with denominator 15:
Now, subtract the fractions:
Step 3: Combine the Whole Number and Fractional Parts
The whole number part is 1, and the fractional part is . Combining these gives:
Thus, the result of the subtraction is:
Therefore, the solution to the problem is .
To solve the problem , we'll follow these steps:
Now, let's work through each step:
Step 1: The fractions are and . The common denominator is 14.
Step 2: Convert : Start by converting to a denominator of 14:
is equivalent to (since and ).
So, .
Step 3: Subtract the fractions:
Subtract from :
.
Step 4: Subtract the whole numbers:
.
Therefore, the final result is:
.
The correct answer to the problem is .
Let's solve the problem by converting the mixed numbers into improper fractions, finding a common denominator, and adding the fractions.
Step 1: Convert Mixed Numbers to Improper Fractions
- becomes .
- becomes .
Step 2: Find a Common Denominator
- The denominators are 9 and 3. The least common denominator is 9.
Step 3: Convert Fractions to a Common Denominator
- is already with the denominator 9.
- .
Step 4: Add the Fractions
.
Step 5: Convert the Improper Fraction Back to a Mixed Number
- is because 37 divided by 9 is 4 with a remainder of 1.
Therefore, the solution to the problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Identify the integer and fractional parts:
has an integer part of 13 and a fractional part of .
has an integer part of 2 and a fractional part of .
Step 2: Find a common denominator for and .
The denominators are 10 and 2, with the common denominator being 10. Convert to an equivalent fraction with this common denominator: .
Step 3: Add the fractional parts:
.
Step 4: Add the integer parts:
.
Step 5: Combine the integer sum and fractional sum:
The result is .
Therefore, the solution to the problem is .
Let's solve the problem by adding the mixed numbers step-by-step:
Therefore, the result of adding is .