![সূচন কার নঙ্কাটিকে ভগ্নাংশ: [ধরন: 25 / (2x4 / 25x4) = 0.04]](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1780361127905-8e304919fcefa79d.png&w=3840&q=75)
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.
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Here are the solutions to the problems from the image. Problem 13: তলৰ ভগ্নাংশবোৰক দশমিক সংখ্যাত প্ৰকাশ কৰা। (Express the following fractions as decimal numbers.) Part (i): (7)/(25) Step 1: Multiply the numerator and denominator by 4 to make the denominator 100. (7)/(25) = (7 × 4)/(25 × 4) = (28)/(100) Step 2: Convert the fraction to a decimal. (28)/(100) = 0.28 Part (ii): (3)/(40) Step 1: Multiply the numerator and denominator by 25 to make the denominator 1000. (3)/(40) = (3 × 25)/(40 × 25) = (75)/(1000) Step 2: Convert the fraction to a decimal. (75)/(1000) = 0.075 Part (iii): (3)/(100) Step 1: The denominator is already 100. (3)/(100) Step 2: Convert the fraction to a decimal. (3)/(100) = 0.03 Part (iv): (23)/(5^2 × 2^3) Step 1: Simplify the denominator. 5^2 × 2^3 = 25 × 8 = 200 The fraction is (23)/(200). Step 2: Multiply the numerator and denominator by 5 to make the denominator 1000. (23)/(200) = (23 × 5)/(200 × 5) = (115)/(1000) Step 3: Convert the fraction to a decimal. (115)/(1000) = 0.115 Part (v): (14)/(175) Step 1: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 7. (14)/(175) = (14 ÷ 7)/(175 ÷ 7) = (2)/(25) Step 2: Multiply the numerator and denominator by 4 to make the denominator 100. (2)/(25) = (2 × 4)/(25 × 4) = (8)/(100) Step 3: Convert the fraction to a decimal. (8)/(100) = 0.08 --- Problem 14: তলৰ শতকৰাবোৰক দশমিক সংখ্যাত প্ৰকাশ কৰা। (Express the following percentages as decimal numbers.) Note: The question asks to convert percentages to decimals, but the given values are fractions. Assuming the intent is to convert these fractions to percentages. Part (i): (7)/(25) Step 1: Convert the fraction to a decimal. (7)/(25) = 0.28 Step 2: Multiply by 100 to express as a percentage. 0.28 × 100\% = 28\% Part (ii): (3)/(40) Step 1: Convert the fraction to a decimal. (3)/(40) = 0.075 Step 2: Multiply by 100 to express as a percentage. 0.075 × 100\% = 7.5\% Part (iii): (3)/(100) Step 1: Convert the fraction to a decimal. (3)/(100) = 0.03 Step 2: Multiply by 100 to express as a percentage. 0.03 × 100\% = 3\% Part (iv): (23)/(5^2 × 2^3) Step 1: Convert the fraction to a decimal. ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._