Write 0.15 as a fraction of 0.7 Give your answer in its simplest form.

11. Write 0.15 as a fraction of 0.7 Give your answer in its simplest form. Total 2 Marks

The Correct Answer and Explanation is:

Correct Answer:

To write 0.15 as a fraction of 0.7, divide 0.15 by 0.7:0.150.7=15100÷710=15100×107=150700\frac{0.15}{0.7} = \frac{15}{100} \div \frac{7}{10} = \frac{15}{100} \times \frac{10}{7} = \frac{150}{700}0.70.15​=10015​÷107​=10015​×710​=700150​

Now simplify:150700=1570=314\frac{150}{700} = \frac{15}{70} = \frac{3}{14}700150​=7015​=143​

Final answer: 314\frac{3}{14}143​

Explanation

To express 0.15 as a fraction of 0.7, we are essentially comparing how much 0.15 is out of 0.7. This is the same as calculating 0.15 divided by 0.7. Mathematically, that means:0.15÷0.7=0.150.70.15 \div 0.7 = \frac{0.15}{0.7}0.15÷0.7=0.70.15​

The next step is to convert both numbers into fractions to simplify them more easily. The decimal 0.15 can be written as 15100\frac{15}{100}10015​ and 0.7 as 710\frac{7}{10}107​. So now the expression becomes:15100÷710\frac{15}{100} \div \frac{7}{10}10015​÷107​

To divide by a fraction, we multiply by its reciprocal. That means:15100×107\frac{15}{100} \times \frac{10}{7}10015​×710​

Multiply the numerators and then the denominators:15×10100×7=150700\frac{15 \times 10}{100 \times 7} = \frac{150}{700}100×715×10​=700150​

Now we simplify this fraction. Both 150 and 700 can be divided by 50:150÷50700÷50=314\frac{150 \div 50}{700 \div 50} = \frac{3}{14}700÷50150÷50​=143​

So, 0.15 as a fraction of 0.7 is 314\frac{3}{14}143​.

This problem is about understanding the meaning of “as a fraction of” which is essentially a ratio or division problem. We used basic arithmetic techniques such as converting decimals into fractions and simplifying. The final simplified answer helps us better understand the proportion that 0.15 represents compared to 0.7. Always simplify your answer unless the question tells you otherwise.