What fraction when multiplied by 3 1/7 gives us 1 1/21

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

To begin with, let's convert the worded problem into an equation.

Let unknown fraction = x

x × 22 / 7 = 22 / 21

Next we will make ( x ) the subject by keeping ( x ) on the left-hand side of the equation and all other numbers on the right-hand side of the equation.

x = 22 / 21 ÷ 22 / 7

Then we will turn this division problem into a multiplication problem by changing the division symbol ( ÷ ) into a multiplication symbol ( × ) and changing the fraction after the symbol into its reciprocal. Reciprocal basically means that the numerator becomes the denominator and the denominator becomes the numerator.

x = 22 / 21 × 7 / 22

After that, we will multiply the numerators of each fraction together and the denominators of each fraction together to make one fraction.

x = 154 / 462

Now we will simplify the fraction by dividing both the numerator and denominator by their HCF ( Highest Common Factor ) which is 154.

x = 1 / 3

FINAL ANSWER:

Therefore, the unknown fraction is 1 / 3.

Hope this helps! :)
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