How Do you Turn 3 7/10 into a Decimal?

How Do you Turn 3 7/10 into a Decimal?

To convert the mixed number 3 7/10 into a decimal, you can first convert the fraction to its decimal equivalent and then add it to the whole number:

1. Convert 7/10 to a decimal by dividing 7 by 10: 7 ÷ 10 = 0.7.
2. Add the decimal to the whole number: 3 + 0.7 = 3.7.

So, 3 7/10 is equal to 3.7 as a decimal.

Converting Fractions to Decimals

Being able to convert between fraction and decimal forms is an important mathematical skill. Decimals allow us to express fractions as an equivalent value on the base 10 number system.

Let’s look at how to convert the mixed number 3 7/10 to a decimal step-by-step:

Convert to an Improper Fraction

First, we need to rewrite 3 7/10 as an improper fraction by converting the whole number portion to a fraction over the denominator:

3 7/10 = 3 (10/10) + 7/10 = (3 * 10)/10 + 7/10 = 30/10 + 7/10 = 37/10

So 3 7/10 = 37/10 when expressed as an improper fraction.

Divide the Numerator by Denominator

To change an improper fraction to a decimal, we divide the numerator by the denominator:

37/10 = 3.7

The division converts the fraction into its decimal equivalent.

Adding Decimal Zeros

If we want to convert 3 7/10 to a decimal with a specific number of decimal places, we can append zeros after the decimal and continue dividing:

37/10 = 3.70 (1 decimal place) 37/10 = 3.700 (2 decimal places)

Adding Place Value

To write the full decimal representation, we simply include the original whole number portion:

3 7/10 = 3.7

So the final answer is 3.7 when converting 3 7/10 to a decimal form.

Checking Our Work

We can double check by converting the decimal back into a fraction to make sure it matches the original:

3.7 = 37/10

Since they match, this confirms that 3.7 is the correct decimal form of 3 7/10.

Practicing converting between fraction and decimal forms in various ways builds familiarity with representing numbers in different bases. This strengthens foundational mathematical skills and number sense.

In summary, to convert a mixed number to decimal, first convert it to an improper fraction, then divide the numerator by the denominator to get the decimal equivalent.