Place Brackets to make this equation true. Be sure to prove it works by solving. (3 marks)
2⅐ + 1⅖ - 5⁄3 x ⅝ 2⅚ = 197/476
where can i put the bracket to make the answer true
15/7 + 8/5 - 5/3 * 5/8*(huh?)17/6 = 197 /476 = 197/(2*2*119)= 197/(2*2*7*17)
.............. x ⅝ 2⅚ makes it hard to understand
(5*3)/7 + (2*2*2)8/5 - 5/3 * 5/(2*2*2) *17/6 = 197/(2*2*7*17)
That is all I can do
question 1 Mr. Gibson mowed about 35of his lawn yesterday. He mowed another 14of the lawn this morning. How much of Mr. Gibson’s lawn is still left to mow?
question 2 Sujay’s father went on a short trip in his truck. The 60-litre gas tank was full when he started his trip. He used about 4/5 of the gasoline during the trip. How many litres of gas does he have left in his tank? (Show your work and provide a therefore statement)
question 1 Mr. Gibson mowed about 35of his lawn yesterday. He mowed another 14of the lawn this morning. How much of Mr. Gibson’s lawn is still left to mow?
question 2 Sujay’s father went on a short trip in his truck. The 60-litre gas tank was full when he started his trip. He used about 4/5 of the gasoline during the trip. How many litres of gas does he have left in his tank? (Show your work and provide a therefore statement)
To make the equation true, you can place brackets around the first three terms and the last term separately. Here's how to solve it:
Given equation: 2⅐ + 1⅖ - 5⁄3 x ⅝ 2⅚ = 197/476
Step 1: Evaluate the terms inside the brackets separately.
2⅐ + 1⅖ = (2⅐ + 1⅖)
This can be written as (15/7 + 8/5).
Step 2: Multiply the fractions inside the bracket.
15/7 + 8/5 = (15/7 + 8/5) = ((15 x 5 + 8 x 7) / (7 x 5)) = (225/35 + 56/35) = (281/35)
Step 3: Evaluate the remaining terms outside the bracket.
= (281/35 - 5⁄3) x ⅝ 2⅚
Step 4: Multiply the fraction and simplify.
(281/35 - 5⁄3) = ((281/35) - (175/35)) = (281 - 175) / 35 = (106/35)
(106/35) x ⅝ 2⅚
Step 5: Convert the mixed fractions into improper fractions.
(106/35) x (5/8) x (32/6)
Step 6: Multiply the numerators and denominators.
(106 x 5 x 32)/(35 x 8 x 6) = 16880/1680 = 197/476
Therefore, by placing brackets as suggested, the equation becomes true.