# What Is 7/4 as a Decimal + Solution With Free Steps

**The fraction 7/4 as a decimal is equal to 1.75.**

A**Â Fraction**Â is the proportion of two whole numbers. It has two elements: numerator and denominator, separated by a slash or line.

A fraction is said to be aÂ **Proper**Â fraction if the denominator is greater than the numerator. On the other hand, it is referred to as anÂ **ImproperÂ **Fraction if the numerator is greater.

As in our case, numerator **7** is greater than denominator **4**, so it is an improper fraction.

Because decimal numbers are easier to understand, fractions are frequently converted to decimal numbers. A decimal number is a number with a decimal point that separates its fractional and whole number parts.

Division appears to be the most complex mathematical operation. However, it is not that difficult because there is a solution to this challenging problem. Long Division is the method for solving the fraction form problem.

We will convert the fractionÂ **7/4**Â to a decimal number using the Long Division method.

## Solution

**Dividend** and **Divisor** are terms used to describe the numbers that will be divided in the division process. In this scenario, we have to divideÂ **7Â **byÂ **4**. Thus,Â **7**Â is the dividend, whileÂ **4**Â is the divisor. In mathematical form, it is stated as:

**Dividend = 7**

**Divisor = 4Â **

Once we are done with division, we obtain Quotient as a consequence. In some circumstances, we are unable to entirely divide two numbers and some remaining numbers. The remainder is the name given to this remaining value:

**Quotient = Dividend $\div$ Divisor = 7 $\div$ 4**

A thorough solution ofÂ **7/4** by adopting the method of Long Division is given below:

Figure 1

## Â

## 7/4 Long Division Method

**7/4** can be written as follows:

**Â 7 $\div$ 4Â **

As a result, in this division, the dividend **7** is divided by **4**, and the divisor is **4**. The stages are listed below. Since **7** is greater than **4**, we can divide without using a decimal point:

**7 $\div$ 4 $\approx$ 1**

Where:

**4 x 1 = 4Â **

In order to find the value left remaining, we subtractÂ **4**Â fromÂ **7**:

**7 â€“ 4 =3**

Therefore, since the remainder ofÂ **3Â **is less than the divisor, we proceed by adding a decimal point to the quotient. Then, to the right of the remainder, we add a zero to compensate for this.

As a result, we obtainÂ **30**Â divided byÂ **4**:

**30 $\div$ 4 $\approx$ 7**

Where:

**4 x 7 = 28Â **

**Â **

**28**Â is subtracted fromÂ **30**Â to the leftÂ **2**Â as the remainder:

**30 â€“28 = 2**

We obtainÂ **20**Â to divide fromÂ **4**Â after placing aÂ **0**Â to the right ofÂ **2**:

**20 $\div$ 4 $\approx$ 5**

Where:

**4 x 5 = 20Â **

Remainder is:**Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **

**Â 20 â€“20 =0.Â **

**Â **

As **1.75** is a decimal value of **7/4**, the fraction is fully solved as indicated by theÂ **zero**Â remainder.

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