Question

5 1/3×3/8; 5/6×1 6/5; 9 1/7 ×3 /4; 3/11×5 1/2

Answer 1

5 1/3*3/8= 16/3*3/8=2*1=2
5/6*1 6/5= 5/6*11/5=1/6*11/1=11/6=1 5/6
9 1/7*3/4= 64/7*3/4= 16/7*3/1= 48/7= 6 6/7
3/11*5 1/2= 3/11* 11/2=3/1*1/2=3/2=1 1/2

Answer 2

To solve these multiplications, we can follow these steps:

Step 1: Convert mixed numbers to improper fractions (if necessary) Step 2: Multiply the numerators and the denominators separately Step 3: Simplify the resulting fraction (if possible)

Let's apply these steps to each multiplication:

1. 5 1/3 × 3/8

Step 1: 5 1/3 can be written as an improper fraction as (5 × 3 + 1)/3 = 16/3 Step 2: (16/3) × (3/8) = (16×3)/(3×8) = 48/24 Step 3: 48/24 can be simplified by dividing both the numerator and denominator by their greatest common factor (GCF), which is 24. 48/24 = 2.

Therefore, 5 1/3 × 3/8 = 2.

2. 5/6 × 1 6/5

Step 1: 1 6/5 can be written as an improper fraction as (1 × 5 + 6)/5 = 11/5 Step 2: (5/6) × (11/5) = (5×11)/(6×5) = 55/30 Step 3: 55/30 can be simplified by dividing both the numerator and denominator by their GCF, which is 5. 55/30 = 11/6.

Therefore, 5/6 × 1 6/5 = 11/6.

3. 9 1/7 × 3/4

Step 1: 9 1/7 can be written as an improper fraction as (9 × 7 + 1)/7 = 64/7 Step 2: (64/7) × (3/4) = (64×3)/(7×4) = 192/28 Step 3: 192/28 can be simplified by dividing both the numerator and denominator by their GCF, which is 4. 192/28 = 48/7.

Therefore, 9 1/7 × 3/4 = 48/7.

4. 3/11 × 5 1/2

Step 1: 5 1/2 can be written as an improper fraction as (5 × 2 + 1)/2 = 11/2 Step 2: (3/11) × (11/2) = (3×11)/(11×2) = 3/2 Step 3: 3/2 is already in its simplest form.

Therefore, 3/11 × 5 1/2 = 3/2.