Respuesta :
The solution of [tex]\frac{3}{4} - \frac{5}{7}[/tex] is [tex]\frac{1}{28} \text{ or } 0.0357[/tex]
Solution:
Given that we have to find the solution of [tex]\frac{3}{4} - \frac{5}{7}[/tex]
To solve the given sum, first make the denominators of both the fractions same
This can be done by taking L.C.M of both denominators
Step 1:
L.C.M of 4 and 7:
The prime factor of 4 = 2 x 2
The prime factor of 7 = 7
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM
LCM = 2 x 2 x 7 = 28
Thus L.C.M of denominators is 28
Step 2:
Solution of [tex]\frac{3}{4} - \frac{5}{7}[/tex]
Multiply the denominator by a number to get 28 and multiply that same number with numerator also
[tex]\frac{3}{4} - \frac{5}{7} = \frac{3 \times 7}{4 \times 7} - \frac{5 \times 4}{7 \times 4}=\frac{21}{28} - \frac{20}{28}\\\\\frac{21}{28} - \frac{20}{28} = \frac{21-20}{28} = \frac{1}{28}\\\\\frac{1}{28} = 0.0357[/tex]
Thus solution of [tex]\frac{3}{4} - \frac{5}{7}[/tex] is [tex]\frac{1}{28} \text{ or } 0.0357[/tex]
