# What Is 3 4 In Decimal Form

In this fun little lesson, we’ll learn how to convert 3/8 as a decimal. In doing so, we’ll also explore other fraction-to-decimal conversions, such as 3/2 as a decimal and 1/10 as a decimal. You can check out the interactive quizzes to learn more about the lesson and try out some of the fun Practice Questions at the end. Read: What is 3 4 in decimal Before we begin, let’s see what Mr. Mike is confused about. Mike asked John, “Can you please tell me which is smaller, 3/4 or 0.34?” John doesn’t know anything because both numbers don’t have the same form. form i.e. both in decimal or fractional form.Let’s see how to do that.

## Lesson plan

The word “Decimal” is derived from the Latin word Decimus means one tenth. The decimal system with base 101/10 is a decimal which means 0.1 and 1/100 represents 0.01 When we convert a fraction to decimal, we convert it to a denominator number 1. So the numerator has a decimal point in it. The decimal form of (dfrac {3} {4},) is 0.75

### Visualize 0.75

Look at the square grid with 100 squares. Each square here will represent the fraction (dfrac {1} {100}) 0.75 = 0.5 + 0.250.5 = 0.50 means 50 out of 100 and 0.25 represents 25 out of 100 Continue learning methods to convert 3/4 to decimal. The fraction (dfrac {3} {4},) can be converted to its denominator 1 by finding its decimal form. Read more: What does Super gremlin mean decimal recognition of (dfrac {3} {4},), there can be many different approaches.

### Method 1

In this method we use long division. Here, the numerator = 3 and the denominator = 4. Divide 3 by 4 We get a remainder of 3 on division. So we keep dividing until we get a remainder of 0 A decimal point is placed after the 3 and we add a zero to continue dividing. This also introduces a decimal point in the quotient after 0. Now, we have a remainder of 30 .[4times 7 = 28] and, [30-28=2]Remainder = 2. So we keep dividing, add another zero after the decimal in the divisor and lower it to make a remainder 20 now. (4 times 5 = 20) and (20-20 = 0) Remainder = 0. So we stop dividing. The quotient for the decimal form of (dfrac {3} {4}). (Dfrac {3} {4} = 0.75text {Decimal}) We can use this method to convert any fraction to decimal Example: Try to represent fraction 3/8 as decimal Read more: Percent of 0.5Numerator = 3, Denominator number = 8 Use long division. We achieve, [dfrac{3}{8} = 0.375]

### Method 2

Another method is to convert the fraction to a fraction equivalent to the denominator in the form of a power of 10 .Example: Consider (dfrac {3} {2}), we can express 3/2 as a decimal by converting it to a fraction equivalent to the denominator 10begin {align} dfrac {3} {2} &= dfrac {3 times 5} {2 times 5 } &= dfrac {15} {10} &= 1.5end {align} In fraction (dfrac {3} {4}), denominator = 4 We need to find a multiple of 4 that is a power of 10 a power of 10 is 10 not a multiple of 4. So let’s look at the second multiple, i.e. 100, which is a multiple of 4 begin {align} dfrac {3} {4} &= dfrac {3times 25} {4times 25} &= dfrac {75} {100} end {align} Now observe that there are 2 zeros in the denominator . there will be two digits after the decimal part of the numerator. (dfrac {3} {4} = 0.75) We can even convert a decimal to a fraction. For this we consider the number of digits after the decimal.Example: Take 0.15, with two digits after the decimal.begin {align} 0.15 &= dfrac {15} {100} &= dfrac {3} {20} end {align} Read more: Go what shoes with jeans mom