## Fraction Calculator: Simplifying 1 1/7 x 3 5/8

This article will guide you through the process of multiplying mixed numbers, specifically **1 1/7 x 3 5/8**, using a fraction calculator.

### Converting Mixed Numbers to Improper Fractions

The first step in multiplying mixed numbers is to convert them into improper fractions. Here's how:

**Multiply the whole number by the denominator of the fraction.**

For 1 1/7: 1 x 7 = 7**Add the numerator to the result.**7 + 1 = 8**Keep the same denominator.**This gives us 8/7.

Similarly, for 3 5/8:

- 3 x 8 = 24
- 24 + 5 = 29
- 29/8

Now, our multiplication problem becomes: **8/7 x 29/8**

### Multiplying Fractions

To multiply fractions, we simply multiply the numerators and the denominators:

(8/7) x (29/8) = (8 x 29) / (7 x 8) = 232/56

### Simplifying the Fraction

The fraction 232/56 can be simplified by finding the greatest common factor (GCD) of the numerator and denominator, which is 8.

Dividing both numerator and denominator by 8:

232/8 = 29 56/8 = 7

Therefore, the simplified answer is **29/7**.

### Converting Back to a Mixed Number (Optional)

You can convert the improper fraction 29/7 back to a mixed number:

**Divide the numerator (29) by the denominator (7).**29 / 7 = 4 with a remainder of 1**The quotient (4) becomes the whole number part of the mixed number.****The remainder (1) becomes the numerator of the fraction.****The denominator remains the same.**

Therefore, 29/7 is equivalent to **4 1/7**.

### Conclusion

By using a fraction calculator and following the steps above, you can confidently multiply mixed numbers and express the answer in either an improper fraction or a mixed number. Remember to always simplify your answer to its simplest form.