46/35 as a decimal and mixed number expansion provides the detailed information about what is 46/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
46/35 as a Decimal Expansion
46/35 = 1.3143
Hence,
46/35 as a decimal equals to 1.3143
where,
46/35 is a given fraction,
The decimal expansion of 46/35 is 1.3143
46/35 as a Mixed Number
46/35 = (35 + 11)/35
= 35/35 + 11/35
= 1 + 11/35
= 1 11/35
46/35 = 1 11/35
Hence,
46/35 as a mixed number is 1 11/35
where,
46/35 is a given fraction,
1 11/35 is the mixed number representation of 46/35.
The below work with steps provide the detailed information about how to convert fraction 46/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/35
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/35.
step 2 The numerator is greater than the denominator of the fraction 46/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/35
= 35 + 11/35
step 3 Make the above expression as individual fractions:
= 35/35 + 11/35
step 4 Simplify the above expression:
= 1 x 35/35 + 11/35
= 1 + 11/35
1 + 11/35 can be written as a mixed number 1 11/35.
step 5 Find the decimal equivalent for the fractional part 11/35 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 11/35. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 11/35.
= 1 + (11/35 x 10/10)
step 6 Simplify the above expression further:
= 1 + (110/35 x 1/10)
= 1 + (105 + 5/35 x 1/10)
= 1 + [(105/35 + 5/35 ) x 1/10]
= 1 + [(3 + 5/35) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/35 in the above expression:
= 1 + [(3 + 5/35) x 1/10]
= 1 + [(3 + 0.14) x 1/10]
= 1 + (3.14 x 1/10)
= 1 + 3.14/10
= 1 + 0.314
step 8 Find the sum of above expression:
= 1 + 0.314
= 1.314
46/35 = 1.314
Hence,
46/35 as a decimal is 1.314
46/35 as a mixed number is 1 11/35