Convert
Fraction x Fraction
Fraction x Whole #
Mixed Numbers
Scaling
100

Simplify:

18/27

Use Ladder Method to divide out the GCF of 9 to get:

2/3

100

1/3 x 3/10

Multiply numerator by numerator and denominator by denominator to get:

3/30

Then use Ladder Method to divided out the GCF of 3 to get:

1/10

or use Cross Simplifying first to get:

1/1 x 1/10 = 1/10

100

12 x 1/2

Turn the 12 into a fraction by placing a 1 under it:

12/1 x 1/2

Then multiply numerator by numerator and denominator by denominator to get:

12/2

The fraction bar simply means divide:

12/2 = 6

100

1 9/5 x 3/5

Turn the mixed number into a fraction first using Mad Strategy:

14/5 x 3/5

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

42/25

Then use Long Division to simplify the improper fraction to a mixed number:

1 17/25

100

Will the product be more or less than 1st factor?

6 1/3 x 1/6

Since 1/6 is less than 1 whole, the product will be LESS than the first factor.

To Check:

Turn the mixed number into a fraction first using Mad Strategy:

19/3 x 1/6

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

19/18

Then use Long Division to simplify the improper fraction to a mixed number:

1 1/18

1 1/18 < 6 1/3

200

Simplify:

9/5

Use Long Division to convert the improper fraction to a mixed number:

1 4/5

200

3/4 x 5/6

Multiply numerator by numerator and denominator by denominator to get:

15/24

Then use Ladder Method to divide out the GCF of 3 to get:

5/8

or just use Cross Simplifying first to get:

1/4 x 5/2 = 5/8

200

7/8 x 5

Turn the 5 into a fraction by placing a 1 under it:

7/8 x 5/1

Then multiply numerator by numerator and denominator by denominator to get:

35/8

Then use Long Division to simplify the improper fraction to a mixed number:

4 3/8

200

1 4/7 x 4/3

Turn the mixed number into a fraction first using Mad Strategy:

11/7 x 4/3

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

44/21

Then use Long Division to simplify the improper fraction to a mixed number:

2 2/21

200

Will the product be more or less than 1st factor?

6 5/8 x 37/5

Since 37/5 is more than 1 whole, the product will be MORE than the first factor.

To Check:

Turn the mixed number into a fraction first using Mad Strategy:

53/8 x 37/5

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

1,961/40

Then use Long Division to simplify the improper fraction to a mixed number:

49 1/40

49 1/40 > 6 5/8

300

Simplify:

8/32

Use Ladder Method to divide out the GCF of 8 to get:

1/4

300

3/5 x 5/12

Multiply numerator by numerator and denominator by denominator to get:

15/60

Then use Ladder Method to divided out the GCF of 15 to get:

1/4

or use Cross Simplifying first to get:

1/1 x 1/4 = 1/4

300

5/8 x 3

Turn the 3 into a fraction by placing a 1 under it:

5/8 x 3/1

Then multiply numerator by numerator and denominator by denominator to get:

15/8

Then use Long Division to simplify the improper fraction to a mixed number:

1 7/8

300

2 3/4 x 1 5/8

Turn the both mixed numbers into fractions first using Mad Strategy:

11/4 x 13/8

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

143/32

Then use Long Division to simplify the improper fraction to a mixed number:

4 15/32

300

Will the product be more or less than 1st factor?

3/4 x 6

Since 6 is more than 1 whole, the product will be MORE than the first factor.

To Check:

Turn the 6 into a fraction by putting a 1 under it:

3/4 x 6/1

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

18/4

Then use Long Division to simplify the improper fraction to a mixed number:

4 2/4

Use the Ladder Method to divide out the GCF of 2 to get:

4 1/2

4 1/2 > 3/4

400

Simplify:

66/93

Use Ladder Method to divide out the GCF of 3 to get:

22/31

400

8/5 x 5/12

Multiply numerator by numerator and denominator by denominator to get:

40/60

Then use Ladder Method to divided out the GCF of 20 to get:

2/3

or use Cross Simplifying first to get:

2/1 x 1/3 = 2/3

400

12 x 3/9 

Turn the 12 into a fraction by placing a 1 under it:

12/1 x 3/9

Then multiply numerator by numerator and denominator by denominator to get:

36/9

The fraction bar simply means divide:

36/9 = 4

or use Cross Simplifying to get:

4/1 x 3/3 = 12/3 = 4

400

2 4/6 x 1 3/4

Turn both mixed numbers into fractions first using Mad Strategy:

16/6 x 7/4

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

112/24

Then use Long Division to simplify the improper fraction to a mixed number:

4 16/24

Then use Ladder Method to divide out the GCF of 8 to get:

4 2/3

400

Will the product be more or less than 1st factor?

5 1/7 x 1/3

Since 1/3 is less than 1 whole, the product will be LESS than the first factor.

To Check:

Turn the mixed number into a fraction first using Mad Strategy:

36/7 x 1/3

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

36/21

Then use Long Division to simplify the improper fraction to a mixed number:

1 15/21

Then use the Ladder Method to divide out the GCF of 3 to get:

1 5/7

1 5/7 < 5 1/7

500

Convert to an improper fraction:

15 4/5

Use Mad Strategy to convert from a mixed number to an improper fraction:

79/5

500

5/3 x 3/4

Multiply numerator by numerator and denominator by denominator to get:

15/12

Then use Long Division to convert the improper fraction to a mixed number:

1 3/12

Then use Ladder Method to divided out the GCF of 3 to get:

1 1/4

or use Cross Simplifying first to get:

5/1 x 1/4 = 5/4

Then use Long Division to convert the improper fraction to a mixed number:

1 1/4

500

7/12 x 8

Turn the 8 into a fraction by placing a 1 under it:

7/12 x 8/1

Then multiply numerator by numerator and denominator by denominator to get:

56/12

Then use Long Division to simplify the improper fraction to a mixed number:

4 8/12

Then use Ladder Method to divide out the GCF of 4 to get:

4 2/3

or use Cross Simplifying to get:

7/3 x 2/1 = 14/3

Then use Long Division to simplify the improper fraction to a mixed number:

4 2/3

500

1 9/10 x 1 9/10

Turn both mixed numbers into fractions first using Mad Strategy:

19/10 x 19/10

Then multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

361/100

Then use Long Division to simplify the improper fraction to a mixed number:

3 61/100

500

Will the product be more or less than 1st factor?

5/7 x 7/5

Since 7/5 is more than 1 whole, the product will be MORE than the first factor.

To Check:

Multiply the numerator by the numerator and the denominator by the denominator (or Cross Simplify):

35/35

The fraction bar simply means divide, so:

35/35 = 1

1 > 5/7 or 7/7 > 5/7

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