QuestionMultiply and simplify: $\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying three fractions $\frac{1}{4}$ , $\frac{3}{4}$ , and $\frac{}{3}$ . . We need to write the answer in lowest terms.

STEP 2

To multiply fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
$\frac{1}{4} \cdot \frac{}{4} \cdot \frac{2}{} = \frac{1 \cdot \cdot2}{4 \cdot4 \cdot}$

STEP 3

Perform the multiplication in the numerator and the denominator.
$\frac{1 \cdot3 \cdot2}{ \cdot \cdot3} = \frac{6}{48}$

STEP 4

Now, we need to write the fraction in lowest terms. This means we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of6 and48 is6.
$\frac{6}{48} = \frac{6/6}{48/6}$

STEP 5

Perform the division in the numerator and the denominator.
$\frac{/}{48/} = \frac{1}{8}$ So, $\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}$ in lowest terms is $\frac{1}{8}$ .

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QuestionMultiply and simplify: $\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying three fractions $\frac{1}{4}$ , $\frac{3}{4}$ , and $\frac{}{3}$ . . We need to write the answer in lowest terms.

STEP 2

To multiply fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
$\frac{1}{4} \cdot \frac{}{4} \cdot \frac{2}{} = \frac{1 \cdot \cdot2}{4 \cdot4 \cdot}$

STEP 3

Perform the multiplication in the numerator and the denominator.
$\frac{1 \cdot3 \cdot2}{ \cdot \cdot3} = \frac{6}{48}$

STEP 4

Now, we need to write the fraction in lowest terms. This means we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of6 and48 is6.
$\frac{6}{48} = \frac{6/6}{48/6}$

STEP 5

Perform the division in the numerator and the denominator.
$\frac{/}{48/} = \frac{1}{8}$ So, $\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}$ in lowest terms is $\frac{1}{8}$ .

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QuestionMultiply and simplify: 14⋅34⋅23\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}41​⋅43​⋅32​.

Studdy Solution

STEP 1

Assumptions1. We are multiplying three fractions 14\frac{1}{4}41​, 34\frac{3}{4}43​, and 3\frac{}{3}3​. . We need to write the answer in lowest terms.

STEP 2

To multiply fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.14⋅4⋅2=1⋅⋅24⋅4⋅\frac{1}{4} \cdot \frac{}{4} \cdot \frac{2}{} = \frac{1 \cdot \cdot2}{4 \cdot4 \cdot}41​⋅4​⋅2​=4⋅4⋅1⋅⋅2​

STEP 3

Perform the multiplication in the numerator and the denominator.1⋅3⋅2⋅⋅3=648\frac{1 \cdot3 \cdot2}{ \cdot \cdot3} = \frac{6}{48}⋅⋅31⋅3⋅2​=486​

STEP 4

Now, we need to write the fraction in lowest terms. This means we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of6 and48 is6.648=6/648/6\frac{6}{48} = \frac{6/6}{48/6}486​=48/66/6​

STEP 5

Perform the division in the numerator and the denominator./48/=18\frac{/}{48/} = \frac{1}{8}48//​=81​So, 14⋅34⋅23\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}41​⋅43​⋅32​ in lowest terms is 18\frac{1}{8}81​.

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QuestionMultiply and simplify: $\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}$ .

Assumptions1. We are multiplying three fractions $\frac{1}{4}$ , $\frac{3}{4}$ , and $\frac{}{3}$ . . We need to write the answer in lowest terms.

To multiply fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
$\frac{1}{4} \cdot \frac{}{4} \cdot \frac{2}{} = \frac{1 \cdot \cdot2}{4 \cdot4 \cdot}$

Perform the multiplication in the numerator and the denominator.
$\frac{1 \cdot3 \cdot2}{ \cdot \cdot3} = \frac{6}{48}$

Now, we need to write the fraction in lowest terms. This means we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of6 and48 is6.
$\frac{6}{48} = \frac{6/6}{48/6}$

Perform the division in the numerator and the denominator.
$\frac{/}{48/} = \frac{1}{8}$ So, $\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}$ in lowest terms is $\frac{1}{8}$ .