150/21 as a Decimal and Mixed Number

150/21 as a decimal and mixed number expansion provides the detailed information about what is 150/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/21 as a Decimal
150/21 = 7.1429
Hence,
150/21 as a decimal equals to 7.1429
where,
150/21 is a given fraction,
The decimal expansion of 150/21 is 7.1429

150/21 as a Mixed Number
150/21 = (147 + 3)/21
= 147/21 + 3/21
= 7 + 3/21
= 7 3/21
150/21 = 7 3/21

Hence,
150/21 as a mixed number is 7 ³/₂₁
where,
150/21 is a given fraction,
7 ³/₂₁ is the mixed number representation of 150/21.

The below work with steps provide the detailed information about how to convert fraction 150/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/21.

step 2 The numerator is greater than the denominator of the fraction 150/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/21
= 147 + 3/21
= (7 x 21) + 3/21

step 3 Make the above expression as individual fractions:
= (7 x 21)/21 + 3/21

step 4 Simplify the above expression:
= 7 x 21/21 + 3/21
= 7 + 3/21
= 7 + 1 x 3/7 x 3
= 7 + 1/7
7 + 1/7 can be written as a mixed number 7 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 7 + 0.1429
= 7.1429
150/21 = 7.1429

Hence,
150/21 as a decimal is 7.1429
150/21 as a mixed number is 7 ¹/₇