Answer:
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
