Question

А) 7 3 — - — = 15 10б) 5 6 — : — = 42 7​

Answer 1

а) 7/15-3/10=2×7/ 2×15-3×3/3×10=14/30-9/30=14-9/30=5/30=1×5/6×5=1/6

б)

5/42 : 6/7 =5/42 ×7/6 =5×7/ 42×6=35/252=5×7/36×7=5/36

Answer 2

А) To solve the equation "7/3 - x = 15/10," you can follow these steps:

Step 1: Find a common denominator for 3 and 10, which is 30. Step 2: Rewrite the fractions with the common denominator:

(7/3) - (x) = (15/10) becomes (70/30) - (x) = (45/30).

Step 3: Now, the equation is:

(70/30) - (x) = (45/30).

Step 4: Subtract (70/30) from both sides to isolate x:

(x) = (70/30) - (45/30).

Step 5: Simplify the right side:

(x) = (25/30).

Step 6: Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5:

(x) = (5/6).

So, the solution to equation A is x = 5/6.

Б) To solve the equation "5/6 ÷ x = 42/7," follow these steps:

Step 1: Invert and multiply. To solve for x, you need to take the reciprocal of 5/6, which is 6/5, and then multiply it by 42/7:

x = (6/5) * (42/7).

Step 2: Multiply the fractions:

x = (6/5) * (6).

Step 3: Multiply the numerators and denominators:

x = (36/5).

So, the solution to equation Б is x = 36/5.