49/40 as a decimal and mixed number expansion provides the detailed information about what is 49/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
49/40 as a Decimal Expansion
49/40 = 1.225
Hence,
49/40 as a decimal equals to 1.225
where,
49/40 is a given fraction,
The decimal expansion of 49/40 is 1.225
49/40 as a Mixed Number
49/40 = (40 + 9)/40
= 40/40 + 9/40
= 1 + 9/40
= 1 9/40
49/40 = 1 9/40
Hence,
49/40 as a mixed number is 1 9/40
where,
49/40 is a given fraction,
1 9/40 is the mixed number representation of 49/40.
The below work with steps provide the detailed information about how to convert fraction 49/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/40
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/40.
step 2 The numerator is greater than the denominator of the fraction 49/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/40
= 40 + 9/40
step 3 Make the above expression as individual fractions:
= 40/40 + 9/40
step 4 Simplify the above expression:
= 1 x 40/40 + 9/40
= 1 + 9/40
1 + 9/40 can be written as a mixed number 1 9/40.
step 5 Find the decimal equivalent for the fractional part 9/40 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/40. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/40.
= 1 + (9/40 x 100/100)
step 6 Simplify the above expression further:
= 1 + (900/40 x 1/100)
= 1 + (880 + 20/40 x 1/100)
= 1 + [(880/40 + 20/40 ) x 1/100]
= 1 + [(22 + 20/40) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 20/40 in the above expression:
= 1 + [(22 + 20/40) x 1/100]
= 1 + [(22 + 0.5) x 1/100]
= 1 + (22.5 x 1/100)
= 1 + 22.5/100
= 1 + 0.225
step 8 Find the sum of above expression:
= 1 + 0.225
= 1.225
49/40 = 1.225
Hence,
49/40 as a decimal is 1.225
49/40 as a mixed number is 1 9/40