Calculate $$\frac{3}{10} \div \frac{1}{40}$$ .

$$\frac{3}{10} \div \frac{1}{40} = \frac{3}{10} \times \frac{40}{1} = \frac{120}{10} = 12$$ .

Calculate $$\frac{21}{11} \div \frac{7}{11}$$ .

$$\frac{21}{11} \div \frac{7}{11} = \frac{21}{11} \times \frac{11}{7} = \frac{231}{77} = 3$$ .

Lila has $$\frac{5}{8}$$ pound of baking soda. Each batch needs $$\frac{1}{6}$$ pound. How many full batches can she make?

$$\frac{5}{8} \div \frac{1}{6} = \frac{5}{8} \times \frac{6}{1} = \frac{30}{8} = 3.75\text{, so she can make 3 full batches.}$$ .

Brayden has $$\frac{3}{4}$$ gallon of paint. He divides it into $$\frac{5}{8}$$ gallon containers. How many full containers will he have?

$$\frac{3}{4} \div \frac{5}{8} = \frac{3}{4} \times \frac{8}{5} = \frac{24}{20} = 1.2\text{, so he can fill 1 full container.}$$ .

What is the result of $$\frac{11}{12} \div \frac{1}{24}$$ ?

$$\frac{11}{12} \div \frac{1}{24} = \frac{11}{12} \times \frac{24}{1} = \frac{264}{12} = 22$$ .

What does it mean to divide a fraction by a whole number?

Dividing a fraction by a whole number means to multiply the fraction by the reciprocal of that whole number.

How can you check your answer when dividing fractions?

You can check your answer by multiplying the result by the divisor and seeing if you get the original dividend.

What is a common mistake when dividing fractions?

A common mistake is to forget to take the reciprocal of the second fraction before multiplying.

Explain why dividing by a fraction is the same as multiplying by its reciprocal.

Dividing by a fraction means finding how many times that fraction fits into another number, which is equivalent to multiplying by the fraction's reciprocal.

What is the importance of simplifying fractions in division?

Simplifying fractions makes calculations easier and helps to find the simplest form of the answer.

What is the first step in dividing fractions?

The first step is to identify the fractions you are dividing and then find the reciprocal of the second fraction.

Provide an example of dividing a fraction by a fraction in real life.

If a recipe calls for $$\frac{1}{2}$$ cup of sugar and you want to make $$\frac{1}{4}$$ of the recipe, you would divide $$\frac{1}{2}$$ by $$\frac{1}{4}$$ to find out how much sugar you need.

$Dividing fractions by fractions$

Dividing fractions by fractions

Flashcard

•

Mathematics

•

6th - 7th Grade

•

Practice Problem

•

Hard

•

CCSS

6.NS.A.1

Standards-aligned

Wayground Content

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FLASHCARD QUESTION

Front

What is the process of dividing fractions by fractions?

Back

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

FLASHCARD QUESTION

Front

How do you simplify the division of fractions?

Back

To simplify, multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction.

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.NS.A.1

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