Find the value of x,y and z that will make the fractions below equivalent 3/25, x/125, 39/y,z/625
Please guys can you help me with solution of this question
the numerator or denominator has been changed by some factor
find the factor , then use it to change the numerator or denominator to make the resulting fraction equivalent to 3/25
a. x/125 = 3/25,
Multiply both sides by 125:
X = 3*125/25 = 15.
b. 39/y = 3/25,
Cross-multiply:
3y = 39*25,
Y =
c.
Certainly! To find the values of x, y, and z that will make the given fractions equivalent, we need to find the common denominators for each fraction and compare the numerators.
The given fractions are:
1) 3/25
2) x/125
3) 39/y
4) z/625
Let's start by finding the common denominator for all the fractions, which is the least common multiple (LCM) of the denominators: 25, 125, and 625.
The LCM of 25, 125, and 625 is 3125. Now, we need to convert each fraction to have a denominator of 3125.
1) To convert 3/25 to have a denominator of 3125, we multiply both the numerator and denominator by 125: (3/25) * (125/125) = 375/3125.
2) To convert x/125 to have a denominator of 3125, we multiply both the numerator and denominator by 25: (x/125) * (25/25) = 25x/3125.
3) To convert 39/y to have a denominator of 3125, we multiply both the numerator and denominator by 125: (39/y) * (125/125) = 4875/y.
4) To convert z/625 to have a denominator of 3125, we multiply both the numerator and denominator by 5: (z/625) * (5/5) = 5z/3125.
Now, we can compare the numerators and find the values of x, y, and z:
375/3125 = x/3125 = 4875/y = 5z/3125
By comparing the numerators: 375 = x = 4875 = 5z
Therefore, the values of x, y, and z that will make the fractions equivalent are:
x = 375
y = 4875
z = 975