141×186=
\( 1\frac{1}{4}\times1\frac{6}{8}= \)
\( 2\frac{5}{6}\times1\frac{1}{4}= \)
\( 1\frac{4}{5}\times2\frac{1}{2}= \)
\( 2\frac{1}{4}\times1\frac{2}{3}= \)
\( 1\frac{4}{5}\times1\frac{1}{3}= \)
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.
For :
- Whole number is 1, denominator is 4, and numerator is 1.
- Convert to improper fraction: .
For :
- Whole number is 1, denominator is 8, and numerator is 6.
- Convert to improper fraction: .
- Simplify to by dividing both the numerator and the denominator by 2.
Step 2: Multiply the improper fractions:
.
Step 3: Convert the improper fraction back to a mixed number:
Divide 35 by 16. This gives 2 as the quotient with a remainder of 3.
Thus, .
Therefore, the product of is .
To solve the problem of multiplying the mixed numbers and , we will follow these steps:
For :
Multiply the whole number 2 by the denominator 6, resulting in 12. Add the numerator 5 to get 17.
Thus, .
For :
Multiply the whole number 1 by the denominator 4, resulting in 4. Add the numerator 1 to get 5.
Thus, .
Multiply by :
The result is .
To convert to a mixed number, divide 85 by 24:
85 divided by 24 is 3, with a remainder of 13.
Hence, .
Therefore, the product of the mixed numbers and is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert the mixed numbers to improper fractions.
For :
.
For :
.
Step 2: Multiply the improper fractions:
.
Step 3: Simplify the fraction and convert it back to a mixed number:
.
Therefore, the product of is , which corresponds to choice 2.
To solve the problem of multiplying the mixed numbers and , we proceed as follows:
Step 1: Convert Mixed Numbers to Improper Fractions
Convert to an improper fraction:
Convert to an improper fraction:
Step 2: Multiply the Improper Fractions
Now, multiply by :
Step 3: Simplify the Fraction
Simplify by finding the greatest common divisor of 45 and 12, which is 3:
Step 4: Convert Back to a Mixed Number
Convert into a mixed number: So, .
Based on the calculations, the product of and is .
Therefore, the solution to the problem is .
To solve this problem, we'll convert the mixed numbers into improper fractions, multiply them, and simplify the result:
Therefore, the product of is .
\( 4\frac{2}{3}\times1\frac{1}{5} \)
\( 3\frac{2}{5}\times1\frac{1}{6}= \)
\( 3\frac{4}{5}\times2\frac{1}{2}= \)
\( 5\frac{1}{7}\times1\frac{3}{4}= \)
\( 4\frac{4}{7}\times2\frac{1}{2}= \)
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert mixed numbers to improper fractions:
For :
Multiply the whole number 4 by the denominator 3 and add the numerator 2:
.
Thus, .
For :
Multiply the whole number 1 by the denominator 5 and add the numerator 1:
.
Thus, .
Step 2: Multiply the improper fractions and :
.
Step 3: Simplify the resulting fraction and convert it to a mixed number if necessary:
Find the greatest common divisor (GCD) of 84 and 15, which is 3.
Divide both numerator and denominator by their GCD:
.
Convert the improper fraction to a mixed number:
Divide 28 by 5: Quotient is 5, remainder is 3.
Thus, .
Therefore, the solution to the problem is .
To solve the problem of multiplying by , follow these steps:
Conclusion: .
The correct choice from the options provided is Choice 4: .
To solve the problem, we'll use the following steps:
Step 1: Convert both mixed numbers into improper fractions.
Step 2: Multiply the improper fractions.
Step 3: Convert the product back to a mixed number.
Now, let’s work through each step:
Step 1: Convert and into improper fractions.
For : Multiply the whole number 3 by the denominator 5, and add the numerator 4:
.
The improper fraction is .
For : Multiply the whole number 2 by the denominator 2, and add the numerator 1:
.
The improper fraction is .
Step 2: Multiply the improper fractions.
.
Step 3: Simplify and convert to a mixed number.
Divide 95 by 10. The quotient is 9 with a remainder of 5, so:
.
Since simplifies to , we get:
as the final answer.
Therefore, the solution to the problem is .
To solve the problem , we will first convert both mixed numbers into improper fractions and then multiply them.
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: Convert the mixed numbers to improper fractions.
For :
Multiply the whole number by the denominator: .
Add the numerator to this product: .
Thus, .
For :
Multiply the whole number by the denominator: .
Add the numerator: .
Thus, .
Step 2: Multiply the two improper fractions:
.
Step 3: Simplify and convert to a mixed number:
First, simplify the fraction by finding the greatest common divisor of 160 and 14, which is 2.
.
Convert to a mixed number:
Divide 80 by 7, which gives a quotient of 11 and a remainder of 3.
Thus, .
Therefore, the solution to the problem is .
\( 2\frac{2}{7}\times1\frac{3}{4}= \)
\( 1\frac{4}{5}\times1\frac{1}{2}= \)
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert the mixed numbers into improper fractions.
For :
For :
Step 2: Multiply the improper fractions.
Step 3: Simplify the resulting fraction.
Since ,
The final result is a whole number, so there is no need for conversion back to a mixed number.
Therefore, the solution to the problem is .
To solve the problem of multiplying and , we will follow these detailed steps:
Now let's go through each step in detail:
Step 1: Convert to Improper Fractions
For the number :
- Multiply the whole number by the denominator: .
- Add the numerator: .
- The improper fraction is .
For the number :
- Multiply the whole number by the denominator: .
- Add the numerator: .
- The improper fraction is .
Step 2: Multiply the Improper Fractions
Multiply by :
.
Step 3: Simplify and Convert Back to Mixed Number
- The fraction is already in simplest form.
- Convert it to a mixed number: Divide 27 by 10, which is 2 with a remainder of 7.
- Therefore, .
Thus, the product of and is .