QuestionDivider brøkerne og giv resultatet som uforkortelig brøk eller blandet tal: a) $\frac{3}{4}: \frac{1}{5}=$ , b) $\frac{2}{5}: \frac{3}{4}=$ , c) $\frac{1}{4}: \frac{2}{5}=$ , d) $\frac{3}{8}: \frac{1}{6}=$ , e) $\frac{5}{6}: \frac{2}{3}=$ , f) $\frac{4}{7}: \frac{3}{5}=$ .

Studdy Solution

STEP 1

Assumptions1. We are given six fractions to divide. . The result of each division should be given as an irreducible fraction or mixed number.

STEP 2

The general rule for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
$\frac{a}{b} \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

STEP 3

Apply the rule to the first division problem.
$\frac{3}{} \frac{1}{5} = \frac{3}{} \times \frac{5}{1}$

STEP 4

Perform the multiplication.
$\frac{3}{4} \times \frac{}{1} = \frac{15}{4}$

STEP 5

The result is an improper fraction. Convert it to a mixed number.
$\frac{15}{4} =3\frac{3}{4}$

STEP 6

Apply the rule to the second division problem.
$\frac{5}{6} \frac{2}{3} = \frac{5}{6} \times \frac{3}{2}$

STEP 7

Perform the multiplication.
$\frac{5}{6} \times \frac{3}{2} = \frac{15}{12}$

STEP 8

implify the fraction to its lowest terms.
$\frac{15}{12} = \frac{5}{4}$

STEP 9

Convert the result to a mixed number.
$\frac{5}{4} =\frac{}{4}$

STEP 10

Repeat the process for the remaining division problems.
$\frac{2}{5} \frac{3}{4} = \frac{2}{5} \times \frac{4}{3} = \frac{8}{15}$ $\frac{4}{7} \frac{3}{5} = \frac{4}{7} \times \frac{5}{3} = \frac{20}{21}$ $\frac{}{4} \frac{2}{5} = \frac{}{4} \times \frac{5}{2} = \frac{5}{8}$ $\frac{3}{8} \frac{}{6} = \frac{3}{8} \times \frac{6}{} = \frac{18}{8} =2\frac{}{4}$ So, the solutions area) $3\frac{3}{4}$ e) $\frac{}{4}$ b) $\frac{8}{15}$ f) $\frac{20}{21}$ c) $\frac{5}{8}$ d) $2\frac{}{4}$

Was this helpful?

QuestionDivider brøkerne og giv resultatet som uforkortelig brøk eller blandet tal: a) $\frac{3}{4}: \frac{1}{5}=$ , b) $\frac{2}{5}: \frac{3}{4}=$ , c) $\frac{1}{4}: \frac{2}{5}=$ , d) $\frac{3}{8}: \frac{1}{6}=$ , e) $\frac{5}{6}: \frac{2}{3}=$ , f) $\frac{4}{7}: \frac{3}{5}=$ .

Studdy Solution

STEP 1

Assumptions1. We are given six fractions to divide. . The result of each division should be given as an irreducible fraction or mixed number.

STEP 2

The general rule for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
$\frac{a}{b} \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

STEP 3

Apply the rule to the first division problem.
$\frac{3}{} \frac{1}{5} = \frac{3}{} \times \frac{5}{1}$

STEP 4

Perform the multiplication.
$\frac{3}{4} \times \frac{}{1} = \frac{15}{4}$

STEP 5

The result is an improper fraction. Convert it to a mixed number.
$\frac{15}{4} =3\frac{3}{4}$

STEP 6

Apply the rule to the second division problem.
$\frac{5}{6} \frac{2}{3} = \frac{5}{6} \times \frac{3}{2}$

STEP 7

Perform the multiplication.
$\frac{5}{6} \times \frac{3}{2} = \frac{15}{12}$

STEP 8

implify the fraction to its lowest terms.
$\frac{15}{12} = \frac{5}{4}$

STEP 9

Convert the result to a mixed number.
$\frac{5}{4} =\frac{}{4}$

STEP 10

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Studdy Solution

STEP 1

Assumptions1. We are given six fractions to divide. . The result of each division should be given as an irreducible fraction or mixed number.

STEP 2

The general rule for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.abcd=ab×dc\frac{a}{b} \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}ba​dc​=ba​×cd​

STEP 3

Apply the rule to the first division problem.315=3×51\frac{3}{} \frac{1}{5} = \frac{3}{} \times \frac{5}{1}3​51​=3​×15​

STEP 4

Perform the multiplication.34×1=154\frac{3}{4} \times \frac{}{1} = \frac{15}{4}43​×1​=415​

STEP 5

The result is an improper fraction. Convert it to a mixed number.154=334\frac{15}{4} =3\frac{3}{4}415​=343​

STEP 6

Apply the rule to the second division problem.5623=56×32\frac{5}{6} \frac{2}{3} = \frac{5}{6} \times \frac{3}{2}65​32​=65​×23​

STEP 7

Perform the multiplication.56×32=1512\frac{5}{6} \times \frac{3}{2} = \frac{15}{12}65​×23​=1215​

STEP 8

implify the fraction to its lowest terms.1512=54\frac{15}{12} = \frac{5}{4}1215​=45​

STEP 9

Convert the result to a mixed number.54=4\frac{5}{4} =\frac{}{4}45​=4​

STEP 10

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

The general rule for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
$\frac{a}{b} \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Apply the rule to the first division problem.
$\frac{3}{} \frac{1}{5} = \frac{3}{} \times \frac{5}{1}$

Perform the multiplication.
$\frac{3}{4} \times \frac{}{1} = \frac{15}{4}$

The result is an improper fraction. Convert it to a mixed number.
$\frac{15}{4} =3\frac{3}{4}$

Apply the rule to the second division problem.
$\frac{5}{6} \frac{2}{3} = \frac{5}{6} \times \frac{3}{2}$

Perform the multiplication.
$\frac{5}{6} \times \frac{3}{2} = \frac{15}{12}$

implify the fraction to its lowest terms.
$\frac{15}{12} = \frac{5}{4}$

Convert the result to a mixed number.
$\frac{5}{4} =\frac{}{4}$