How come Divide blended Numbers?

Mixed number consist of one integer adhered to by a fraction. The is initially an not correct fraction, i beg your pardon then damaged down right into a blended number form. Department of blended numbers is very comparable to the multiplication the the blended numbers.

You are watching: 20/11 as a mixed number

Here room the steps adhered to when separating mixed numbers:

Begin through converting every mixed fraction to one improper.Invert or upper and lower reversal upside down the improper portion that is the divisorMultiply the first fraction by the 2nd fraction. Multiplication of numerators and also denominators room done separately.Convert the resultant portion into a mixed number if it is improper.Simplify the blended number to its lowest terms possible.

Example 1
Invert or upper and lower reversal upside under the improper portion that is the divisorMultiply the an initial fraction by the 2nd fraction. Multiplication the numerators and also denominators room done separately.Convert the resultant fraction into a blended number if it is improper.Simplify the mixed number come its lowest state possible." />

Solve the following

1 3/4 ÷ 2 2/5

Solution

Convert each combined number right into improper fraction.

1 3/4 = 7/4 and 2 2/5 = 12/5

Now proceed with the division as:

1 3/4 ÷ 2 2/5 = 7/4 ÷ 12/5

Determine the reciprocal of the second fraction as 5/12

7/4 ÷ 12/5 = 7/4 x 5/12

Multiply the molecule together and also denominators additionally together.

7/4 x 5/12= (5 x 7)/(12 x 4)

= 35/48

Example 2

Workout:

2 ¾ ÷ 1 2/3

Solution

2 ¾ ÷ 1 2/3

= 11/4 ÷ 5/3

= 11/4 × 3/5

= (11 × 3)/(4 × 5)

= 33/20

= 1 13/20

Example 3

Simplify the following,

2 4/17 ÷ 1 4/17

Solution

2 4/17 ÷ 1 4/17

= 38/17 ÷ 21/17

= 38/17 × 17/21

= (38 × 17)/(17 × 21)

= 646/357

= 38/21

= 1 17/21

Example 4

Work out: 3 1/3 ÷ 1 5/6

Solution

Step 1:

Convert each blended number to an not correct fraction.

3 1/3 = 10/3 and 1 5/6 = 11/6

Now, 3 1/3 ÷ 1 5/6 = 10/3 ÷ 11/6

Step 2:

Invert the second fraction and adjust the operator to multiplication.

10/3 ÷ 11/6 = 10/3 x 6/11

Step 3:

Multiply the molecule at the top and also denominators in ~ the bottom.

10/3 x 6/11 = (10 x 6)/(11 x 3)

= 60/33

Step 4:

Simplify the answer.

Both the numerator and also denominator have a usual factor 3, and also therefore leveling the portion to its lowest terms.

60/33 = 20/11

Now convert the answer ago to a blended number.

20/11= 1 9/11

Therefore, 3 1/3 ÷ 1 5/6 = 1 9/11

Example 5

Work out: 4 ÷ 2 1/3

Solution

Step 1:

Convert the combined numbers into improper fractions.

2 1/3 = 7/3

4 ÷ 2 1/3 = 4/1÷ 7/3

Step 2:

Find the mutual of the second portion and change the operator come multiplication.

4/1÷ 7/3 = 4/1 x 3/7

Step 3:

Multiply the fractions

4 × 3/7 = 12/7

Step 4:

Simplify and convert.

Now convert the portion back to a mixed number.

12/7 = 1 5/7

Example 6

Two number have a product that 18. If one number is 8 2/5, calculation the value of the various other number.

Solution

The product of the number = 18

One of the number = 8 2/5 = (8 × 5) + 2/5 = 42/5

To discover the worth of the other number, divide 18 by the fraction.

= 18 ÷ 42/5 = 18 × 5/42

= 90/42

= 15/7

Therefore, the various other number is:

= 2 1/7

Example 7

A 25 m long pole is reduced into logs of each 1 2/3 meters. Calculate the total number of logs reduced from the pole.

See more: What Does Region Mean In Math Ematical Analysis), Region And Domains

Solution

Total variety of logs reduced can be calculated by dividing 25 m through 1 2/3 = 25 ÷ 1 2/3

= 25 ÷ 5/3

= 25 × 3/5

= 75/5

Therefore, the number of logs cut = 15

Practice Questions

Two number x and also y once multiplied together, the result is 1 1/17. If y= 7 1/5, discover the worth of x.An athlete runs 3 1/7 km in 1 1/4 What distance have the right to he covering if runs at the same speed in one hour.Rex paints 3/4 the a wall surface in 1 2/3 How many days does he need to finish painting the wall?Mike reduced 1 1/17 meters rope into pieces that 2/17 m each. Calculation the total variety of pieces that were cut.A boy completes 2/3 that a occupational in 25 1/2 calculate the number of hours needed to complete the whole work.A college student reads one third of a book in 2 1/7 What time is essential in-order for the student to finish reading the entirety book?Find a number k that provides 2 4/5 as soon as multiplied with another number 21/3.Previous Lesson | Main web page | following Lesson