## Multiplying Mixed Numbers: 1 1/2 x 3 1/7

This article will guide you through the steps of multiplying the mixed numbers 1 1/2 and 3 1/7.

### Converting Mixed Numbers to Fractions

The first step is to convert the mixed numbers into improper fractions. To do this, we follow these steps:

**Multiply the whole number by the denominator of the fraction.**For 1 1/2: 1 x 2 = 2.**Add the numerator of the fraction to the product.**2 + 1 = 3.**Keep the original denominator.**The improper fraction for 1 1/2 is 3/2.

Following the same steps for 3 1/7:

**Multiply the whole number by the denominator of the fraction.**3 x 7 = 21.**Add the numerator of the fraction to the product.**21 + 1 = 22.**Keep the original denominator.**The improper fraction for 3 1/7 is 22/7.

### Multiplying the Fractions

Now we have the problem as 3/2 x 22/7. To multiply fractions, we simply multiply the numerators and the denominators:

(3 x 22) / (2 x 7) = 66/14

### Simplifying the Result

The final step is to simplify the fraction 66/14. Both the numerator and denominator are divisible by 2:

66/14 = 33/7

### Converting Back to a Mixed Number

The simplified fraction 33/7 is an improper fraction. To convert it back to a mixed number, we divide the numerator (33) by the denominator (7):

33 ÷ 7 = 4 with a remainder of 5.

The whole number part of the mixed number is the quotient, 4. The fraction part is the remainder, 5, over the original denominator, 7.

Therefore, 1 1/2 x 3 1/7 = **4 5/7**.