What is 2 2/5 x 4 1/8

9 9/10 (Decimal: 9.9)

Turn 2 2/5 into an Improper Fraction

Multiply 2*5 and get 10. Now add 2 and get 12.

2 2/5 = 12/5

Turn 4 1/8 into an Improper Fraction

Multiply 4*8 and get 32. Now add 1 and get 33.

4 1/8 = 33/8

Your new problem should be: 12/5×33/8

Multiply Numerator by Numerator

12*33=396

Multiply Denominator by Denominator

5*8=40

396/40

Divide 396/40

396÷40=9.9

9.9 into a Mixed Number is 9 9/10

9 9/10

Step-by-step explanation:

Multiply

2 and 2 over 52

2

5

× 4 and 1 over 84

1

8

= 396 over 40

396

40

Step 1 of 2: Multiply, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 2 over 52

2

5

= ( 2 × 5 ) over 5

2 × 5

5

+ 2 over 5

2

5

= ( 10 + 2 ) over 5

10 + 2

5

= 12 over 5

12

5

Step 1 of 2: Multiply, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

4 and 1 over 84

1

8

= ( 4 × 8 ) over 8

4 × 8

8

+ 1 over 8

1

8

= ( 32 + 1 ) over 8

32 + 1

8

= 33 over 8

33

8

Step 1 of 2: Multiply, sub-step c: Multiply.

Multiply

12 over 5

12

5

× 33 over 8

33

8

= ( 12 × 33 ) over ( 5 × 8 )

12 × 33

5 × 8

= 396 over 40

396

40

Multiply the numerators and denominators.

Simplify

396 over 40

396

40

= 99 over 10

99

10

= 9 and 9 over 109

9

10

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

396 over 40

396

40

= ( 396 ÷ 4 ) over ( 40 ÷ 4 )

396 ÷ 4

40 ÷ 4

= 99 over 10

99

10

4 is the greatest common divisor of 396 and 40. Reduce by dividing both numerator and denominator by 4.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

99 over 10

99

10

= 9 and 9 over 109

9

10

99 ÷ 10 = 9 remainder 9

hope this helps

a = 11 : 4

b = 38

c = 1 for every 6