141/21 as a decimal and mixed number expansion provides the detailed information about what is 141/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
141/21 as a Decimal
141/21 = 6.7143
Hence,
141/21 as a decimal equals to 6.7143
where,
141/21 is a given fraction,
The decimal expansion of 141/21 is 6.7143
141/21 as a Mixed Number
141/21 = (126 + 15)/21
= 126/21 + 15/21
= 6 + 15/21
= 6 15/21
141/21 = 6 15/21
Hence,
141/21 as a mixed number is 6 15/21
where,
141/21 is a given fraction,
6 15/21 is the mixed number representation of 141/21.
The below work with steps provide the detailed information about how to convert fraction 141/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 141/21
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 141/21.
step 2 The numerator is greater than the denominator of the fraction 141/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 141/21
= 126 + 15/21
= (6 x 21) + 15/21
step 3 Make the above expression as individual fractions:
= (6 x 21)/21 + 15/21
step 4 Simplify the above expression:
= 6 x 21/21 + 15/21
= 6 + 15/21
= 6 + 5 x 3/7 x 3
= 6 + 5/7
6 + 5/7 can be written as a mixed number 6 5/7.
step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 6 + 0.7143
= 6.7143
141/21 = 6.7143
Hence,
141/21 as a decimal is 6.7143
141/21 as a mixed number is 6 5/7