382−143=
\( 3\frac{2}{8}-1\frac{3}{4}= \)
\( 2\frac{4}{3}-1\frac{1}{2}= \)
\( 4\frac{5}{6}+1\frac{1}{12}= \)
\( 1\frac{1}{4}+2\frac{1}{2}= \)
\( 1\frac{2}{3}+1\frac{2}{6}= \)
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert to a fraction with a denominator of 8.
Since (by multiplying numerator and denominator by 2), we have:
.
Step 2: Subtract the whole numbers and fractions separately.
Original problem: .
Subtract the fractions:
.
Step 3: Simplify the resulting fraction and combine it with the whole number part.
.
Therefore, after subtracting and simplifying, we find that:
Therefore, the solution to the problem is .
To solve the problem , let's follow these steps:
Now let's work through these steps:
Step 1: Convert the mixed numbers into improper fractions.
Step 2: Identify a common denominator. The denominators are 3 and 2; the least common denominator is 6.
Convert to have a denominator of 6:
Convert to have a denominator of 6:
Step 3: Perform the subtraction:
Step 4: Convert back to a mixed number:
Therefore, the solution to the problem is .
To solve the addition of the mixed numbers and , follow these steps:
Thus, the sum of is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert each mixed number to an improper fraction:
Therefore, the solution to the problem is .
To solve this problem, we will proceed with the following steps:
Step 1: Identify the whole and fractional parts of each mixed number.
Step 2: Convert the fractions to have a common denominator.
Step 3: Add the fractional parts.
Step 4: Add the whole numbers.
Step 5: Combine the results to obtain the total.
Now, let's go through the solution:
Step 1: Separate the mixed numbers into whole and fractional parts:
Step 2: Convert the fractions and to have a common denominator. The least common multiple of 3 and 6 is 6.
Convert :
Step 3: Add the fractional parts:
Step 4: Add the whole number parts:
Step 5: Combine the whole and fractional results:
Adding the whole sum and fractional sum gives:
Therefore, the sum of is .
\( 3\frac{1}{3}-2\frac{14}{15}= \)
\( 6\frac{1}{9}-2\frac{2}{3}= \)
\( 3\frac{3}{5}+1\frac{1}{15}= \)
\( 3\frac{5}{16}+6\frac{5}{8}= \)
\( 12\frac{1}{49}+2\frac{3}{7}= \)
To solve this problem, follow these steps:
Let's begin with Step 1:
Convert to an improper fraction:
Convert to an improper fraction:
Step 2: Find a common denominator for and .
The least common multiple of 3 and 15 is 15, so we'll use 15 as the common denominator.
Step 3: Convert to have the denominator of 15:
Now, perform the subtraction:
Step 4: Simplify .
The greatest common divisor of 6 and 15 is 3, so divide the numerator and denominator by 3:
Thus, the final answer is .
To solve this problem, we will follow a structured approach to subtract the given mixed numbers:
Step 1: Convert mixed numbers to improper fractions.
Step 2: Find a common denominator for the fractions.
Step 3: Subtract the improper fractions.
Step 4: Convert the result back to a mixed number if necessary.
Let's begin with each step in detail:
Step 1: Convert each mixed number to an improper fraction.
- becomes because .
- becomes because .
Step 2: Convert to have a common denominator with .
The least common denominator (LCD) is 9.
Multiply the numerator and the denominator of by 3 to get .
Step 3: Subtract the improper fractions:
.
Step 4: Convert the improper fraction back to a mixed number.
simplifies to , because equals 3 with a remainder of 4.
Therefore, the solution to the problem is .
To solve the problem , we'll follow these steps:
Therefore, the sum of is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert to a fraction with denominator 16.
Currently, .
Step 2: Add the fractions and .
.
Step 3: Add the whole numbers of the mixed numbers.
The whole numbers are 3 and 6, giving .
Step 4: Combine the results of steps 2 and 3 into a mixed number.
.
Therefore, the solution to the problem is , which corresponds to choice 3 in the provided options.
To solve the problem of adding , we'll follow step-by-step procedures:
Therefore, the solution to the problem is , which matches choice 4.
\( 7\frac{5}{6}+6\frac{2}{3}+\frac{1}{3}=\text{ ?} \)
Note that the right-hand side of the addition exercise between the fractions gives a result of a whole number, so we'll start with that:
Giving us: