Q:

Choose Yes or No to tell if the fraction 4 9 49  will make each equation true.   63 × □ = 28 63×□=28     18 × □ = 8 18×□=8    96 × □ = 42 96×□=42    36 × □ = 16 36×□=16

Accepted Solution

A:
Answer:YESYESNOYESStep-by-step explanation:Assuming that the value is [tex]\dfrac{4}{9}[/tex].Let's take each of the equations and check if the fraction makes the equation true.When multiplying a whole number to a fraction, it is the same as multiplying the whole number to the numerator and dividing the total by the denominator.[tex]63*\dfrac{4}{9}=28[/tex][tex]\dfrac{63*4}{9}=28[/tex][tex]\dfrac{252}{9}=28[/tex][tex]28=28[/tex]    YES[tex]18*\dfrac{4}{9}=8[/tex][tex]\dfrac{18*4}{9}=8[/tex][tex]\dfrac{72}{9}=8[/tex][tex]8=8[/tex]    YES[tex]96*\dfrac{4}{9}=42[/tex][tex]\dfrac{96*4}{9}=42[/tex][tex]\dfrac{384}{9}=42[/tex][tex]42.67=42[/tex]    NO[tex]36*\dfrac{4}{9}=16[/tex][tex]\dfrac{36*4}{9}=16[/tex][tex]\dfrac{144}{9}=16[/tex][tex]16=16[/tex]    YES