**What Is 16/34 as a Decimal + Solution With Free Steps**

**The fraction 16/34 as a decimal is equal to 0.4705.**

A** fraction** represents part of a whole expressed through a numerator and a denominator. It can be a portion of any quantity. There are two types of fractions one is a **proper** fraction and the second is an** improper** fraction. The fraction **16/34 **is a **proper** fraction because the denominator is **greater** than the numerator.

Here, we are more interested in the division types that result in a **Decimal** value, as this can be expressed as a **Fraction**. We see fractions as a way of showing two numbers having the operation of **Division** between them that result in a value that lies between two **Integers**.

Now, we introduce the method used to solve said fraction to decimal conversion, called **Long Division, **which we will discuss in detail moving forward. So, let’s go through the **Solution** of fraction **16/34**.

**Solution**

First, we convert the fraction components, i.e., the numerator and the denominator, and transform them into the division constituents, i.e., the **Dividend** and the **Divisor,** respectively.

*This can be done as follows:*

**Dividend = 16**

**Divisor = 34**

Now, we introduce the most important quantity in our division process: the **Quotient**. The value represents the **Solution** to our division and can be expressed as having the following relationship with the **Division** constituents:

**Quotient = Dividend $\div$ Divisor = 16 $\div$ 34**

This is when we go through the **Long Division** solution to our problem. The following figure shows the solution for fraction 16/34.

**16/34 Long Division Method**

We start solving a problem using the **Long Division Method** by first taking apart the division’s components and comparing them. As we have **16** and **34,** we can see how **16** is **Smaller** than **34**, and to solve this division, we require that 16 be **Bigger** than 34.

This is done by **multiplying** the dividend by **10** and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor closest to the dividend and subtract it from the **Dividend**. This produces the **Remainder,** which we then use as the dividend later.

Now, we begin solving for our dividend **x**, which after getting multiplied by **10** becomes **160**.

*We take this **160** and divide it by **34**; this can be done as follows:*

** 160 $\div$ 34 $\approx$ 4**

Where:

**34 x 7 = 136**

This will lead to the generation of a **Remainder** equal to **160 – 136 = 24**. Now this means we have to repeat the process by **Converting** the **24** into **240** and solving for that:

**240 $\div$ 34 $\approx$ 7**

Where:

**34 x 7 = 238**

This, therefore, produces another **Remainder** which is equal to **240 – 238 = 2**. Now we must solve this problem to **Third Decimal Place** for accuracy.

However, **2** when multiplied by 10 becomes 20 which is still smaller than 34. Therefore we will multiply 20 by 10 again and add a zero in the quotient after the decimal point. By doing this the dividend will become 200 which is bigger than 34.

**200 $\div$ 34 $\approx$ 5**

Where:

**34 x 5 = 170**

Finally, we have a **Quotient** generated as **0.4705**, with a **Remainder** equal to **30**.

*Images/mathematical drawings are created with GeoGebra. *