Solving Problems with Fractions and Mixed Numbers (Multiplying/Dividing) 4.4a

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (4/5) = (2*4)/(3*5) = 8/15.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (2/3) ÷ (4/5) = (2/3) * (5/4) = (2*5)/(3*4) = 10/12 = 5/6.

Front

What is the first step in solving a two-step word problem?

Back

Identify the key information and what is being asked in the problem.

Front

If 3/5 of 445 tickets were sold, how do you find the number of tickets sold?

Back

Multiply 445 by 3/5: 445 * (3/5) = 267 tickets sold.

Front

How do you find the remaining tickets if 267 were sold from 445?

Back

Subtract the number of tickets sold from the total: 445 - 267 = 178 tickets remaining.

Front

What is the process to divide a fraction by a whole number?

Back

Convert the whole number to a fraction (e.g., 3 becomes 3/1) and then multiply by the reciprocal.

Front

If a recipe needs 3/4 cup of sugar and is doubled, how do you calculate the amount needed?

Back

Multiply 3/4 by 2: (3/4) * 2 = 6/4 = 1 1/2 cups.

Front

How do you calculate the total amount of water to drink in a week if you drink 6 1/2 glasses a day?

Back

Multiply 6 1/2 by 7: (6.5) * 7 = 45 1/2 glasses.