Step: 1

= 13 20 - 3 10

[Substitute the values.]

Step: 2

= 13 20 - 3 × 2 1 0 × 2

[Multiply the numerator and the denominator of 3 10 by 2 to make the denominators of both the fractions equal.]

Step: 3

= 13 20 - 6 20

[Simplify.]

Step: 4

= 1 3 - 6 2 0

[Write the difference over the common denominator.]

Step: 5

= 7 20

[Subtract the numerator.]

Step: 6

So, 7 20 lb of yogurt was still left.

Correct Answer is : 7 20 lb

Step: 1

The difference between their expenditures on food = amount spent by Arthur - amount spent by Tim

Step: 2

= 5 4 - 1 2

[Substitute the values.]

Step: 3

= 5 4 - 1×2 2×2

[Multiply the numerator and the denominator of 1 2 by 2 to make the denominators of both the fractions equal.]

Step: 4

= 5 4 - 2 4

[Simplify.]

Step: 5

= 5 - 2 4

[Write the difference over the common denominator.]

Step: 6

= 3 4

[Subtract the numerators.]

Step: 7

The difference between their expenditures on food is $3 4 .

Correct Answer is : $3 4

Step: 1

The length of the fabric that Ed uses in excess to that used by Emily = length of the fabric used by Ed - length of the fabric used by Emily

Step: 2

= 8 5 - 16 15

[Substitute the values.]

Step: 3

= 8 × 3 5 × 3 - 16 15

[Multiply the numerator and the denominator of 8 5 by 3 to make the denominators of both the fractions equal.]

Step: 4

= 24 15 - 16 15

[Simplify.]

Step: 5

= 2 4 - 1 6 1 5

[Write the difference over the common denominator.]

Step: 6

= 8 15

[Subtract the numerators.]

Step: 7

Ed uses 8 15 yd of fabric more than Emily.

Correct Answer is : 8 15

Step: 1

[Original expression.]

Step: 2

= 9 × 5 4 × 5 - 1 1 × 4 5 × 4

[Multiply the numerator and the denominator of 9 4 by 5 and 11 5 by 4 to make the denominators of both the fractions equal.]

Step: 3

= 45 20 - 44 20

[Simplify.]

Step: 4

= ( 4 5 - 4 4 ) 2 0

[Write the difference over the common denominator.]

Step: 5

= 1 20

[Subtract the numerator.]

Step: 6

Correct Answer is : 1 20 cups

Step: 1

Time taken by Bill to travel from Detroit to Cleveland = time taken by Bill to travel from Chicago to Cleveland - Time taken by Bill to travel from Chicago to Detroit

Step: 2

= 51 12 - 10 3

[Substitute the values.]

Step: 3

= 51 12 - (10×4) (3×4)

[Multiply the numerator and the denominator of 10 3 by 4 to make the denominators of both the fractions equal.]

Step: 4

= 51 12 - 40 12

[Simplify.]

Step: 5

= (51-40) 12

[Write the difference over the common denominator.]

Step: 6

= 11 12

[Subtract the numerator.]

Step: 7

The time taken by Bill to travel from Detroit to Cleveland is 11 12 hour.

Correct Answer is : 11 12 hour

Step: 1

Distance between Jim and Brad at the end of one hour = Distance Jim walks in one hour - Distance Brad walks in one hour

Step: 2

= 6 7 - 2 3

[Substitute the values.]

Step: 3

= 6 × 3 7 × 3 - 2 × 7 3 × 7

[Multiply the numerator and the denominator of 6 7 by 3 and 2 3 by 7 to make the denominators of both the fractions equal.]

Step: 4

= 18 21 - 14 21

[Simplify.]

Step: 5

= 1 8 - 1 4 2 1

[Write the difference over the common denominator.]

Step: 6

= 4 21

[Subtract the numerator.]

Step: 7

So, the distance between Jim and Brad at the end of one hour is 4 21 mile.

Correct Answer is : 4 21 mile

Step: 1

Time taken by Jeff to reach his home on foot = 1 2 hour

Step: 2

Time taken by Jeff to reach his home on bike = 1 4 hour

Step: 3

Time saved = 1 2 - 1 4

[time taken to reach his home on foot - time taken to reach his home on bike.]

Step: 4

[1 hour = 60 minutes, 1 2 hour = 60 2 = 30 minutes.]

Step: 5

[1 hour = 60 minutes, 1 4 hour = 60 4 = 15 minutes.]

Step: 6

Time saved = 30 minutes - 15 minutes = 15 minutes

[Subtract.]

Step: 7

Jeff saves 15 minutes by going on a bike.

Correct Answer is : 15 minutes

Step: 1

We need to subtract, 4 9 - 1 18 to find the amount of paint Sunny has left.

Step: 2

The denominators in the two fractions are not the same. So, we change the fraction 4 9 to a fraction whose denominator is 18.

Step: 3

= 4 9 × 2 2 - 1 18

[Multiply the fraction 4 9 by 2 2 .]

Step: 4

= 8 18 - 1 18

[Simplify.]

Step: 5

= 8 - 1 1 8 = 7 18

[Subtract the numerators.]

Step: 6

Sunny has left with 7 18 gallons of paint.

Correct Answer is : 7 18

Step: 1

[Original expression.]

Step: 2

The denominators in the fractions are not the same. So, we change the fraction 1 3 to a fraction whose denominator is 6.

Step: 3

= 4 6 - 1 3 × 2 2

[Multiply the fraction 1 3 by 2 2 .]

Step: 4

= 4 6 - 2 6

[Simplify.]

Step: 5

= 4 - 2 6

[Subtract the numerators.]

Step: 6

= 2 6

[Simplify.]

Step: 7

So, Frank ate 2 6 of the pizza.

Correct Answer is : 2 6

Step: 1

The fraction of water Emily used = 7 8 - 1 7

[Original expression.]

Step: 2

The denominators in the two fractions are not the same.

So, we change the fractions7 8 and 1 7 to have a common denominator.

So, we change the fractions

Step: 3

= 7 8 × 7 7 - 1 7 × 8 8

[Multiply fraction 7 8 by 7 7 and the faction 1 7 by 8 8 .]

Step: 4

= 49 56 - 8 56

[Simplify.]

Step: 5

= 49 - 8 56

=41 56

=

[Subtract the numerators.]

Correct Answer is : 41 56

Step: 1

The length of the fabric unused = the length of the fabric Nancy bought - the length of the fabric used.

Step: 2

= 7 8 - 1 4

[Substitute the values.]

Step: 3

= 7 8 - 2 8

[Rename 1 4 to 2 8 by multiplying 1 4 with 2 2 .]

Step: 4

= 7 - 2 8

[Write the difference over the common denominator.]

Step: 5

= 5 8

[Subtract.]

Step: 6

So, 5 8 yd of fabric was unused.

Correct Answer is : 5 8 yd

- Interpreting Multiplication as Scaling or Resizing-Gr 5-Solved Examples
- Interpreting Fractions by Division of Whole Numbers-Gr 5-Solved Examples
- Relationship between Fraction and Division-Gr 5-Solved Examples
- Adding and Subtracting Fractions-Unlike Denominators-Gr 5-Solved Examples
- Multiplying Fractions with Whole Numbers-Gr 5-Solved Examples
- Multiplying Fractions with Fractions-Gr 5-Solved Examples
- Multiplication of Unit Fractions using Models-Gr 5-Solved Examples
- Dividing Fraction by a Whole Number and vice versa-Gr 5-Solved Examples
- Adding Mixed Numbers-Unlike Denominators-Gr 5-Solved Examples
- Subtracting Mixed Numbers-Unlike Denominators-Gr 5-Solved Examples
- Application of Adding Fractions-Like Denominators-Gr 5-Solved Examples
- Application of Adding Fractions-Unlike Denominators-Gr 5-Solved Examples
- Application of Subtracting Fractions-Like Denominators-Gr 5-Solved Examples
- Application of Multiplying Fractions-Gr 5-Solved Examples
- Estimating Addition and Subtraction of Fractions-Gr 5-Solved Examples
- Equivalent Fraction for a given Fraction-Gr 5-Solved Examples

- Like Fractions