QuestionDivide $1 \frac{3}{4}$ by $3 \frac{2}{3}$ .

Studdy Solution

STEP 1

Assumptions1. We are dividing $\frac{7}{4}$ by $3 \frac{}{3}$ . . We are working with real numbers.

STEP 2

First, we need to convert the mixed numbers into improper fractions.
$1 \frac{}{4} = \frac{7}{4}$ $\frac{2}{} = \frac{11}{}$

STEP 3

Now, we can rewrite the division problem as a multiplication problem by multiplying by the reciprocal of the second fraction.
$\frac{7}{} \div \frac{11}{3} = \frac{7}{} \times \frac{3}{11}$

STEP 4

Next, we multiply the numerators together to get the numerator of the answer, and the denominators together to get the denominator of the answer.
$\frac{7 \times3}{4 \times11}$

STEP 5

Now, we calculate the multiplication.
$\frac{21}{44}$

STEP 6

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is1.
$\frac{21}{44} = \frac{21}{44}$ So, $1 \frac{3}{4} \div3 \frac{2}{3} = \frac{21}{44}$ .

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QuestionDivide $1 \frac{3}{4}$ by $3 \frac{2}{3}$ .

Studdy Solution

STEP 1

Assumptions1. We are dividing $\frac{7}{4}$ by $3 \frac{}{3}$ . . We are working with real numbers.

STEP 2

First, we need to convert the mixed numbers into improper fractions.
$1 \frac{}{4} = \frac{7}{4}$ $\frac{2}{} = \frac{11}{}$

STEP 3

Now, we can rewrite the division problem as a multiplication problem by multiplying by the reciprocal of the second fraction.
$\frac{7}{} \div \frac{11}{3} = \frac{7}{} \times \frac{3}{11}$

STEP 4

Next, we multiply the numerators together to get the numerator of the answer, and the denominators together to get the denominator of the answer.
$\frac{7 \times3}{4 \times11}$

STEP 5

Now, we calculate the multiplication.
$\frac{21}{44}$

STEP 6

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is1.
$\frac{21}{44} = \frac{21}{44}$ So, $1 \frac{3}{4} \div3 \frac{2}{3} = \frac{21}{44}$ .

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QuestionDivide 1341 \frac{3}{4}143​ by 3233 \frac{2}{3}332​.

Studdy Solution

STEP 1

Assumptions1. We are dividing 74\frac{7}{4}47​ by 333 \frac{}{3}33​. . We are working with real numbers.

STEP 2

First, we need to convert the mixed numbers into improper fractions.14=741 \frac{}{4} = \frac{7}{4}14​=47​2=11 \frac{2}{} = \frac{11}{}2​=11​

STEP 3

Now, we can rewrite the division problem as a multiplication problem by multiplying by the reciprocal of the second fraction.7÷113=7×311\frac{7}{} \div \frac{11}{3} = \frac{7}{} \times \frac{3}{11}7​÷311​=7​×113​

STEP 4

Next, we multiply the numerators together to get the numerator of the answer, and the denominators together to get the denominator of the answer.7×34×11\frac{7 \times3}{4 \times11}4×117×3​

STEP 5

Now, we calculate the multiplication.2144\frac{21}{44}4421​

STEP 6

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is1.2144=2144\frac{21}{44} = \frac{21}{44}4421​=4421​So, 134÷323=21441 \frac{3}{4} \div3 \frac{2}{3} = \frac{21}{44}143​÷332​=4421​.

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QuestionDivide $1 \frac{3}{4}$ by $3 \frac{2}{3}$ .

Assumptions1. We are dividing $\frac{7}{4}$ by $3 \frac{}{3}$ . . We are working with real numbers.

First, we need to convert the mixed numbers into improper fractions.
$1 \frac{}{4} = \frac{7}{4}$ $\frac{2}{} = \frac{11}{}$

Now, we can rewrite the division problem as a multiplication problem by multiplying by the reciprocal of the second fraction.
$\frac{7}{} \div \frac{11}{3} = \frac{7}{} \times \frac{3}{11}$

Next, we multiply the numerators together to get the numerator of the answer, and the denominators together to get the denominator of the answer.
$\frac{7 \times3}{4 \times11}$

Now, we calculate the multiplication.
$\frac{21}{44}$

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is1.
$\frac{21}{44} = \frac{21}{44}$ So, $1 \frac{3}{4} \div3 \frac{2}{3} = \frac{21}{44}$ .