130/35 as a decimal and mixed number expansion provides the detailed information about what is 130/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
130/35 as a Decimal
130/35 = 3.7143
Hence,
130/35 as a decimal equals to 3.7143
where,
130/35 is a given fraction,
The decimal expansion of 130/35 is 3.7143
130/35 as a Mixed Number
130/35 = (105 + 25)/35
= 105/35 + 25/35
= 3 + 25/35
= 3 25/35
130/35 = 3 25/35
Hence,
130/35 as a mixed number is 3 25/35
where,
130/35 is a given fraction,
3 25/35 is the mixed number representation of 130/35.
The below work with steps provide the detailed information about how to convert fraction 130/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/35
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 130/35.
step 2 The numerator is greater than the denominator of the fraction 130/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 130/35
= 105 + 25/35
= (3 x 35) + 25/35
step 3 Make the above expression as individual fractions:
= (3 x 35)/35 + 25/35
step 4 Simplify the above expression:
= 3 x 35/35 + 25/35
= 3 + 25/35
= 3 + 5 x 5/7 x 5
= 3 + 5/7
3 + 5/7 can be written as a mixed number 3 5/7.
step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 3 + 0.7143
= 3.7143
130/35 = 3.7143
Hence,
130/35 as a decimal is 3.7143
130/35 as a mixed number is 3 5/7