193×242=
\( 1\frac{3}{9}\times2\frac{2}{4}= \)
\( 1\frac{4}{6}\times1\frac{2}{8}= \)
\( 2\frac{4}{12}\times1\frac{2}{4}= \)
\( 2\frac{2}{6}\times1\frac{4}{10}= \)
\( 1\frac{6}{8}\times2\frac{2}{6}= \)
To solve the problem , we will follow these steps:
Let’s begin with each step in detail:
Step 1: Convert and to improper fractions.
- For : Convert the fraction to its simplest form, which is . Then, the mixed number becomes
.
- For : The fraction simplifies to . Then, the mixed number becomes
.
Step 2: Multiply the improper fractions:
.
Simplify :
Find the greatest common divisor (GCD) of 20 and 6, which is 2. Then .
Step 3: Convert the improper fraction back to a mixed number:
Divide 10 by 3 to get 3 with a remainder of 1, thus .
Therefore, the product is .
To solve this problem, we'll convert the given mixed numbers to improper fractions, multiply them, and simplify the result. Let's proceed step by step:
Therefore, the solution to the problem is . This matches the correct answer choice 2.
To solve the given problem, we'll follow these steps:
Let's work through these steps:
1. Convert each mixed number to an improper fraction:
.
.
2. Multiply the improper fractions:
The multiplication of and is:
.
3. Simplify the resulting fraction :
after dividing the numerator and denominator by 3.
4. Convert the improper fraction back to a mixed number:
.
Thus, 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 each mixed number to an improper fraction.
For :
Simplifying by dividing the numerator and the denominator by 2, we get .
For :
Simplifying by dividing the numerator and the denominator by 2, we get .
Step 2: Multiply the improper fractions:
Step 3: Simplify the resulting fraction, if necessary. In this case, is already in its simplest form.
Step 4: Convert the result back to a mixed number:
can be rewritten as , since 49 divided by 15 is 3 with a remainder of 4.
Therefore, the solution to the problem is .
To solve this problem, we'll follow these steps:
Let's begin:
Step 1: Convert to improper fractions
Convert to an improper fraction:
.
Convert to an improper fraction:
.
Step 2: Multiply the fractions
Multiply and :
.
Step 3: Simplify the fraction
Find the greatest common divisor (GCD) of 196 and 48, which is 4. Simplify :
.
Step 4: Convert to a mixed number
as a mixed number is since 49 divided by 12 is 4 with a remainder of 1.
Therefore, the solution to the problem is .
\( 1\frac{4}{12}\times1\frac{4}{14}= \)
\( 2\frac{10}{20}\times1\frac{4}{16}= \)\( \)
\( 3\frac{5}{15}\times2\frac{2}{10}= \)
\( 3\frac{6}{9}\times3\frac{4}{20}= \)
\( 4\frac{10}{12}\times2\frac{2}{10}= \)
Let's solve the problem by following these steps:
Step 1:
Convert to an improper fraction.
Calculate the improper fraction:
Convert to an improper fraction.
Calculate the improper fraction:
Step 2:
Multiply the two improper fractions:
Simplify the multiplication:
The resulting fraction is .
Step 3:
Simplify .
Find the greatest common divisor (GCD) of 288 and 168, which is 24.
The simplified fraction is .
Convert back to a mixed number:
12 divided by 7 is 1 with a remainder of 5, so the mixed number is .
Thus, the solution to the problem is .
To solve this problem, we will convert the mixed numbers to improper fractions and multiply them.
For the first mixed number :
- Convert to an improper fraction:
Initially, can be simplified to (since ). Therefore, the mixed number is equal to:
Thus, becomes .
For the second mixed number :
- Simplify to (since ). Hence, simplifies to :
Thus, becomes .
Multiply the fractions :
Convert back to a mixed number by dividing:
- Divide 25 by 8, which goes 3 times (remainder 1).
Thus, .
Therefore, the solution to the problem is .
To solve this problem, follow these steps:
Let's work through the steps:
Step 1: Convert the mixed numbers to improper fractions.
, simplifying yields .
, simplifying yields .
Step 2: Multiply the fractions.
.
Step 3: Simplify the result of the multiplication.
can be simplified by dividing the numerator and the denominator by 5, yielding .
Step 4: Convert the resulting improper fraction back to a mixed number.
Dividing, with a remainder of 1, so .
Therefore, the solution to the problem is .
To solve this problem, we will follow these steps:
Here's the step-by-step solution:
Step 1: Convert and to improper fractions.
For , which can be simplified to : .
For , which can be simplified to : .
Step 2: Simplify fractions if possible. The fractions and are already in simplest form.
Step 3: Multiply the fractions:
.
Step 4: Convert the resulting improper fraction to a mixed number.
Divide 176 by 15: remainder . Thus, .
Therefore, the solution to the problem is , which matches choice 3.
Therefore, the final answer is .
To solve this problem, we'll convert the mixed numbers into improper fractions and perform the multiplication.
Therefore, the solution to the problem is , which corresponds to choice 3.
\( 1\frac{2}{8}\times1\frac{7}{14}= \)
\( 3\frac{4}{6}\times2\frac{2}{4}= \)
To solve the problem , follow these steps:
Therefore, the solution to the problem is .
To solve the problem of multiplying these mixed fractions, we will proceed through the following steps:
Therefore, the result of the multiplication is .