Browse · MATH Print → jmc algebra intermediate Problem The decimal 0.76 is equal to the fraction 6b+114b+19, where b is a positive integer. What is the value of b? Solution — click to reveal Setting 6b+114b+19 equal to 0.76=10076=2519, we have 6b+114b+19⇒25(4b+19)⇒100b+475⇒−14b⇒b=2519=19(6b+11)=114b+209=−266=19. Final answer 19 ← Previous problem Next problem →