334/320 as a Decimal and Mixed Number
334/320 as a decimal and mixed number expansion provides the detailed information about what is 334/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
334/320 as a Decimal
334/320 = 1.0438
Hence,
334/320 as a decimal equals to 1.0438
where,
334/320 is a given fraction,
The decimal expansion of 334/320 is 1.0438
334/320 as a Mixed Number
334/320 = (320 + 14)/320
= 320/320 + 14/320
= 1 + 14/320
= 1 14/320
334/320 = 1 14/320
Hence,
334/320 as a mixed number is 1 14/320
where,
334/320 is a given fraction,
1 14/320 is the mixed number representation of 334/320.
How-to: 334/320 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 334/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 334/320
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 334/320.
step 2 The numerator is greater than the denominator of the fraction 334/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 334/320
= 320 + 14/320
step 3 Make the above expression as individual fractions:
= 320/320 + 14/320
step 4 Simplify the above expression:
= 1 x 320/320 + 14/320
= 1 + 14/320
= 1 + 7 x 2/160 x 2
= 1 + 7/160
1 + 7/160 can be written as a mixed number 1 7/160.
step 5 Find the decimal equivalent for the fractional part 7/160 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (7/160 x 625/625)
= 1 + 4375/100000
step 6 Simplify the above expression further:
= 1 + 0.04375
= 1.04375
334/320 = 1.04375
Hence,
334/320 as a decimal is 1.04375
334/320 as a mixed number is 1 7/160