316/44 as a decimal and mixed number expansion provides the detailed information about what is 316/44 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
316/44 as a Decimal
316/44 = 7.1818
Hence,
316/44 as a decimal equals to 7.1818
where,
316/44 is a given fraction,
The decimal expansion of 316/44 is 7.1818
316/44 as a Mixed Number
316/44 = (308 + 8)/44
= 308/44 + 8/44
= 7 + 8/44
= 7 8/44
316/44 = 7 8/44
Hence,
316/44 as a mixed number is 7 8/44
where,
316/44 is a given fraction,
7 8/44 is the mixed number representation of 316/44.
The below work with steps provide the detailed information about how to convert fraction 316/44 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 316/44
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 316/44.
step 2 The numerator is greater than the denominator of the fraction 316/44, so write the given fraction in the expression form in terms of denominator as like the below:
= 316/44
= 308 + 8/44
= (7 x 44) + 8/44
step 3 Make the above expression as individual fractions:
= (7 x 44)/44 + 8/44
step 4 Simplify the above expression:
= 7 x 44/44 + 8/44
= 7 + 8/44
= 7 + 2 x 4/11 x 4
= 7 + 2/11
7 + 2/11 can be written as a mixed number 7 2/11.
step 5 Find the decimal equivalent for the fractional part 2/11 in the above expression:
= 7 + 0.1818
= 7.1818
316/44 = 7.1818
Hence,
316/44 as a decimal is 7.1818
316/44 as a mixed number is 7 2/11