# What is 7 5/10 as a decimal?

So, in mathematics, converting fractions to decimals is common. Let's walk through the process of converting a fraction 7 5/10 to a decimal.

You can select other fractional values to familiarize yourself with the conversion guide.

Often, convert 7 2/5 to a decimal or 7 6/11 to a decimal, depending on the task.

## What is 7 5/10?

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 7 5/10: 7 is an integer, 5 is the numerator, and 10 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 7 by the denominator 10, and add the numerator 5: (7 × 10 + 5). To get the value of the fraction, the numerator of 75 is divided by the denominator of 10.

## Conversion formula (equation):

**$7\frac{5}{10}=\frac{\mathrm{7\; \times \; 10\; +\; 5}}{10}=\frac{75}{10}=7.5$**

## Solution:

**$7\frac{5}{10}$ = 7.5**

## What is a fraction?

A fraction is a mathematical expression of two parts: the numerator on top and the denominator below. It represents partial values, showcasing relationships or comparisons.

## What is a decimal?

A decimal is a numeral system with a point. This point divides the integer from its fractional part. It provides a straightforward way to express and work with values less than one.

### Conversion Steps:

To get the decimal of 7 5/10, follow these steps:

**Step 1: Representing an improper fraction.**Let's start by converting a mixed fraction to an improper fraction. To achieve this, we multiply the integer**7**by the denominator**10**, and plus the numerator**5**.**Step 2: Set up the division.**Divide the numerator of**75**by the denominator of**10**. This will look like the following:**75÷10**.**Step 3: Divide.**Perform the division. If using a calculator, simply divide**75**by**10**. If doing it manually, apply division.**Step 4: Identify the decimal.**The result of the division will be a decimal value. When**75**is divided by**10**, the decimal obtained is**7.5**.