Proportions With Complex Fractions

Solve the following

• 1 1/2
• 2
• 3/8
• 2 1/2

Simplify the complex fraction shown.

• 9/40
• 40/9
• 10/36
• 5/18

Mr. Rogers needs fertilizer for his 1-acre garden.  The package suggests 1/2 pound of fertilizer for 1/45 of an acre.  How many pounds of fertilizer does Mr. Rogers need for his entire garden?

• 11 1/4
• 22 1/2
• 45
• 90

Simplify the complex fraction. Remember: This is just another way of writing division. Use keep, change, flip and divide the two fractions.

• 32/135

• 7/61

• 427

• 1/427

If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?

• 1/40
• 5/18
• 1 1/2
• 3 3/5

What is a complex fraction?

• A really hard fraction to figure out 
• A fraction with a fraction in the numerator, denominator, or both 
• A fraction multiplied by a decimal
• A fraction with an exponent 

It took Julius 1/3 of an hour to ride his bike 2 & 3/4 of a mile. How many miles per hour can he ride his bike?

• 3 & 1/2
• 6 & 3/4
• 8 & 1/4
• 16 & 1/2

Reduce the complex fraction to simplest form

• 6/5
• 8/5
• 5/6
• 5/8

Simplify the complex fraction.

• 32/135
• 7/61
• 427
• 1/427

Simplify the complex fraction.

• 18
• 1/18
• 9/72
• 1/8