3/8+1and5/9 divided by 7/12

139/42

Step-by-step explanation:

Simplify the following:

(3/8 + 1 + 5/9)/(7/12)

Hint: | Write (3/8 + 1 + 5/9)/(7/12) as a single fraction.

Multiply the numerator of (3/8 + 1 + 5/9)/(7/12) by the reciprocal of the denominator. (3/8 + 1 + 5/9)/(7/12) = ((3/8 + 1 + 5/9)×12)/7:

((3/8 + 1 + 5/9)×12)/7

Hint: | Put the fractions in 3/8 + 1 + 5/9 over a common denominator.

Put 3/8 + 1 + 5/9 over the common denominator 72. 3/8 + 1 + 5/9 = (9×3)/72 + 72/72 + (8×5)/72:

((9×3)/72 + 72/72 + (8×5)/72 12)/7

Hint: | Multiply 9 and 3 together.

9×3 = 27:

((27/72 + 72/72 + (8×5)/72)×12)/7

Hint: | Multiply 8 and 5 together.

8×5 = 40:

((27/72 + 72/72 + 40/72)×12)/7

Hint: | Add the fractions over a common denominator to a single fraction.

27/72 + 72/72 + 40/72 = (27 + 72 + 40)/72:

((27 + 72 + 40)/72×12)/7

Hint: | Evaluate 27 + 72 + 40 using long addition.

| 7 | 2

| 4 | 0

+ | 2 | 7

1 | 3 | 9:

(139/72×12)/7

Hint: | Express 139/72×12 as a single fraction.

139/72×12 = (139×12)/72:

((139×12)/72)/7

Hint: | Express ((139×12)/72)/7 as a single fraction.

((139×12)/72)/7 = (139×12)/(72×7):

(139×12)/(72×7)

Hint: | In (139×12)/(72×7), divide 72 in the denominator by 12 in the numerator.

12/72 = 12/(12×6) = 1/6:

139/(6×7)

Hint: | Multiply 6 and 7 together.

6×7 = 42:

139/42

x=4

step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5