Question

(2-1 7/12)÷(3/8-1/6)×3 1/4​

Answer 1

$\bigg(2-1\dfrac{7}{12}\bigg)\div\bigg(\dfrac{3}{8}-\dfrac{1}{6}\bigg)\cdot3\dfrac{1}{4}=\bold{6,5}$

$1) \: \: 2-1\dfrac{7}{12}=1\dfrac{12}{12}-1\dfrac{7}{12}=\dfrac{5}{12}$

$2) \: \: \dfrac{3}{8}-\dfrac{1}{6}=\dfrac{9}{24}-\dfrac{4}{24}=\dfrac{5}{24}$

$3) \: \: \dfrac{5}{12}\div\dfrac{5}{24}=\dfrac{5}{12}\cdot\dfrac{24}{5}=2$

$4) \: \: 2\cdot3\dfrac{1}{4}=2\cdot\dfrac{13}{4}=\dfrac{13}{2}=6,5$

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

Given expression: (2-1 7/12) ÷ (3/8 - 1/6) × 3 1/4

Step 1: Simplify the fractions within parentheses: 2 - 1 7/12 = 1 12/12 - 1 7/12 = (12 + 7) / 12 - 7/12 = 19/12 - 7/12 = 12/12 = 1

Step 2: Simplify the fraction within the second set of parentheses: 3/8 - 1/6 = (3 * 3) / (8 * 3) - (8 * 1) / (6 * 1) = 9/24 - 8/6 = 9/24 - 16/24 = -7/24

Step 3: Simplify the whole expression: (1) ÷ (-7/24) × 3 1/4

Step 4: Convert the mixed number to an improper fraction: 3 1/4 = (4 * 3 + 1) / 4 = 13/4

Step 5: Perform the division: 1 ÷ (-7/24) = 1 * (-24/7) = -24/7

Step 6: Multiply by the mixed number: -24/7 × 13/4 = (-24 * 13) / (7 * 4) = -312/28 = -39/7

So, the value of the expression (2-1 7/12) ÷ (3/8 - 1/6) × 3 1/4 is -39/7 or approximately -5.5714.