150/14 as a decimal and mixed number expansion provides the detailed information about what is 150/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
150/14 as a Decimal
150/14 = 10.7143
Hence,
150/14 as a decimal equals to 10.7143
where,
150/14 is a given fraction,
The decimal expansion of 150/14 is 10.7143
150/14 as a Mixed Number
150/14 = (140 + 10)/14
= 140/14 + 10/14
= 10 + 10/14
= 10 10/14
150/14 = 10 10/14
Hence,
150/14 as a mixed number is 10 10/14
where,
150/14 is a given fraction,
10 10/14 is the mixed number representation of 150/14.
The below work with steps provide the detailed information about how to convert fraction 150/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/14
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/14.
step 2 The numerator is greater than the denominator of the fraction 150/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/14
= 140 + 10/14
= (10 x 14) + 10/14
step 3 Make the above expression as individual fractions:
= (10 x 14)/14 + 10/14
step 4 Simplify the above expression:
= 10 x 14/14 + 10/14
= 10 + 10/14
= 10 + 5 x 2/7 x 2
= 10 + 5/7
10 + 5/7 can be written as a mixed number 10 5/7.
step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 10 + 0.7143
= 10.7143
150/14 = 10.7143
Hence,
150/14 as a decimal is 10.7143
150/14 as a mixed number is 10 5/7