**7 1/2 x 1 1/3 x 7/12 as a Fraction**

In this article, we will explore how to simplify the expression `7 1/2 x 1 1/3 x 7/12`

as a fraction.

**Converting Mixed Numbers to Improper Fractions**

Before we can simplify the expression, we need to convert the mixed numbers `7 1/2`

and `1 1/3`

to improper fractions.

### Converting 7 1/2 to an Improper Fraction

`7 1/2`

can be written as an improper fraction by multiplying the whole number part (7) by the denominator (2) and then adding the numerator (1). This gives us:

`7 1/2 = (7 × 2) + 1 / 2 = 15/2`

### Converting 1 1/3 to an Improper Fraction

`1 1/3`

can be written as an improper fraction by multiplying the whole number part (1) by the denominator (3) and then adding the numerator (1). This gives us:

`1 1/3 = (1 × 3) + 1 / 3 = 4/3`

**Simplifying the Expression**

Now that we have converted the mixed numbers to improper fractions, we can simplify the expression:

`(15/2) × (4/3) × (7/12)`

To simplify this expression, we can start by multiplying the numerators (15, 4, and 7) to get the new numerator, and multiplying the denominators (2, 3, and 12) to get the new denominator.

**New Numerator**

`15 × 4 × 7 = 420`

**New Denominator**

`2 × 3 × 12 = 72`

**Final Answer**

So, the simplified expression is:

`420/72`

We can further simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 12.

`420 ÷ 12 = 35`

`72 ÷ 12 = 6`

Therefore, the final answer is:

`35/6`

And that's the simplified fraction for the expression `7 1/2 x 1 1/3 x 7/12`

!