solve the proportion using number sense.
Start Fraction 2 over 8 End Fraction equals Start Fraction x over 48 End Fraction
To solve the proportion, we need to find the value of 'x'.
Start Fraction 2/8 = x/48
To solve for 'x', we can cross multiply and then divide:
2 * 48 = 8 * x
96 = 8x
Next, divide both sides of the equation by 8:
96/8 = x
12 = x
Therefore, the value of 'x' is 12.
So, Start Fraction 2/8 End Fraction is equivalent to Start Fraction 12/48 End Fraction.
To solve the proportion using number sense, we can simplify both fractions by dividing the numerator and denominator by their greatest common factor.
Start by simplifying the first fraction, 2/8. The greatest common factor of 2 and 8 is 2. Divide both the numerator and denominator by 2:
2/8 = 1/4
So now the proportion becomes:
1/4 = x/48
To solve for x, we can cross multiply. Multiply the numerator of the first fraction (1) by the denominator of the second fraction (48), and multiply the denominator of the first fraction (4) by the numerator of the second fraction (x):
1 * 48 = 4 * x
48 = 4x
To isolate x, divide both sides of the equation by 4:
48/4 = x
12 = x
Therefore, the solution to the proportion is x = 12.