150/213 as a Decimal

150/213 as a decimal expansion provides the detailed information about what is 150/213 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

150/213 as a Decimal
150/213 = 0.7042
Hence,
150/213 as a decimal equals to 0.7042
where,
150/213 is a given fraction,
The decimal expansion of 150/213 is 0.7042

150/213 as a Mixed Number
The given fraction 150/213 can't be represented as a mixed number since the numerator 150 of the given fraction is smaller than the denominator 213.

The below work with steps provide the detailed information about how to convert fraction 150/213 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/213

What to be found:
Find the decimal expansion of fraction 150/213.

step 2 The numerator is smaller than the denominator of the fraction 150/213, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 150/213.
= 150/213 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 150/213 x 1/10
= 1500/213 x 1/10

step 4 Simplify the above expression further:
= 1500/213 x 1/10
= 1491 + 9/213 x 1/10
= ( 1491/213 + 9/213) x 1/10
= (7 + 9/213 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 9/213 in the above expression:
= (7 + 9/213 ) x 1/10
= (7 + 0.042) x 1/10

step 6 Simplify the above expression further:
= (7 + 0.042) x 1/10
= 7.042 x 1/10
= 7.042/10
150/213= 0.7042

Hence,
150/213 as a decimal is 0.7042