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If you are a teacher click here for a version of the problem suitable for classroom use, together with supporting materials. Otherwise, read on ...
On my calculator I divided one whole number by another whole number and got the answer $3.125$.
I know that both numbers were less than $50$, but can't remember what they were.
Can you work out what they were?
Once you've had a chance to think about it, click below to see how four different pupils began working on the task.
Here is Gemma and Flo's work:
Richard wrote the following:
He explained:
"I multiplied $3.125$ by $1$, then I tried multiplying $3.125$ by $2$, then I multiplied $3.125$ by $3$ ..."
Here is the start of Thomas' work:
Can you take each of these starting ideas and develop it into a solution?