23/14 as a decimal and mixed number expansion provides the detailed information about what is 23/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
23/14 as a Decimal Expansion
23/14 = 1.6429
Hence,
23/14 as a decimal equals to 1.6429
where,
23/14 is a given fraction,
The decimal expansion of 23/14 is 1.6429
23/14 as a Mixed Number
23/14 = (14 + 9)/14
= 14/14 + 9/14
= 1 + 9/14
= 1 9/14
23/14 = 1 9/14
Hence,
23/14 as a mixed number is 1 9/14
where,
23/14 is a given fraction,
1 9/14 is the mixed number representation of 23/14.
The below work with steps provide the detailed information about how to convert fraction 23/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/14
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/14.
step 2 The numerator is greater than the denominator of the fraction 23/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/14
= 14 + 9/14
step 3 Make the above expression as individual fractions:
= 14/14 + 9/14
step 4 Simplify the above expression:
= 1 x 14/14 + 9/14
= 1 + 9/14
1 + 9/14 can be written as a mixed number 1 9/14.
step 5 Find the decimal equivalent for the fractional part 9/14 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/14. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/14.
= 1 + (9/14 x 100/100)
step 6 Simplify the above expression further:
= 1 + (900/14 x 1/100)
= 1 + (896 + 4/14 x 1/100)
= 1 + [(896/14 + 4/14 ) x 1/100]
= 1 + [(64 + 4/14) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/14 in the above expression:
= 1 + [(64 + 4/14) x 1/100]
= 1 + [(64 + 0.29) x 1/100]
= 1 + (64.29 x 1/100)
= 1 + 64.29/100
= 1 + 0.6429
step 8 Find the sum of above expression:
= 1 + 0.6429
= 1.6429
23/14 = 1.6429
Hence,
23/14 as a decimal is 1.6429
23/14 as a mixed number is 1 9/14