2/5 + 1/5 + ....... = 1 9/9 - 1/3 = .......

March 22, 2026Mathematics

ScanSolve AI Answer

March 22, 2026

Answer

$\frac{2}{5}$

1) Step 1: Add the given fractions. $\frac{2}{5} + \frac{1}{5} = \frac{2+1}{5} = \frac{3}{5}$ Step 2: Set up the equation with the unknown value. $\frac{3}{5} + x = 1$ Step 3: Solve for $x$ by subtracting $\frac{3}{5}$ from 1. $x = 1 - \frac{3}{5}$ Step 4: Convert 1 to a fraction with a denominator of 5. $x = \frac{5}{5} - \frac{3}{5}$ Step 5: Perform the subtraction. $x = \frac{5-3}{5} = \frac{2}{5}$ The correct option is b). The final answer is $\boxed{\frac{2}{5}}$ .

2) Step 1: Simplify the first fraction. $\frac{9}{9} = 1$ Step 2: Rewrite the expression. $1 - \frac{1}{3}$ Step 3: Convert 1 to a fraction with a denominator of 3. $1 = \frac{3}{3}$ Step 4: Perform the subtraction. $\frac{3}{3} - \frac{1}{3} = \frac{3-1}{3} = \frac{2}{3}$ The correct option is d). The final answer is $\boxed{\frac{2}{3}}$ .

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Quick Answer

1) Step 1: Add the given fractions. (2)/(5) + (1)/(5) = (2+1)/(5) = (3)/(5) Step 2: Set up the equation with the unknown value.

Asked on March 22, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 22, 2026

1) Step 1: Add the given fractions. (2)/(5) + (1)/(5) = (2+1)/(5) = (3)/(5) Step 2: Set up the equation with the unknown value. (3)/(5) + x = 1 Step 3: Solve for x by subtracting (3)/(5) from 1. x = 1 - (3)/(5) Step 4: Convert 1 to a fraction with a denominator of 5. x = (5)/(5) - (3)/(5) Step 5: Perform the subtraction. x = (5-3)/(5) = (2)/(5) The correct option is b). The final answer is (2)/(5). 2) Step 1: Simplify the first fraction. (9)/(9) = 1 Step 2: Rewrite the expression. 1 - (1)/(3) Step 3: Convert 1 to a fraction with a denominator of 3. 1 = (3)/(3) Step 4: Perform the subtraction. (3)/(3) - (1)/(3) = (3-1)/(3) = (2)/(3) The correct option is d). The final answer is (2)/(3).