Multiplying two fractions

Difficulty Starter · Set v5yccg

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1
78×34=
2
45×18=
3
17×27=
4
45×12=
5
12×13=
6
12×13=
7
14×14=
8
16×67=
9
14×13=
10
23×23=
11
34×47=
12
12×13=
13
34×16=
14
16×78=
15
12×34=
16
56×12=
17
16×38=
18
56×18=
19
37×34=
20
27×57=

What is in this set

The numbers in this set run from 1 to 8.
32% of them need simplifying at the end.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: a common denominator was found first; multiplying needs none — the tops multiply and the bottoms multiply.
Answers are a fraction in its lowest terms, written like 3/4.

Drawing 240 problems from this page produced 156 different ones, 65% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 5 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.